Discrete Dynamics in Nature and Society http://www.hindawi.com The latest articles from Hindawi Publishing Corporation © 2016 , Hindawi Publishing Corporation . All rights reserved. Optimal Investment-Consumption Strategy under Inflation in a Markovian Regime-Switching Market Wed, 27 Jul 2016 14:18:52 +0000 http://www.hindawi.com/journals/ddns/2016/9606497/ This paper studies an investment-consumption problem under inflation. The consumption price level, the prices of the available assets, and the coefficient of the power utility are assumed to be sensitive to the states of underlying economy modulated by a continuous-time Markovian chain. The definition of admissible strategies and the verification theory corresponding to this stochastic control problem are presented. The analytical expression of the optimal investment strategy is derived. The existence, boundedness, and feasibility of the optimal consumption are proven. Finally, we analyze in detail by mathematical and numerical analysis how the risk aversion, the correlation coefficient between the inflation and the stock price, the inflation parameters, and the coefficient of utility affect the optimal investment and consumption strategy. Huiling Wu Copyright © 2016 Huiling Wu. All rights reserved. Complete Moment Convergence for Negatively Dependent Sequences of Random Variables Wed, 27 Jul 2016 13:44:33 +0000 http://www.hindawi.com/journals/ddns/2016/9039345/ We study the complete moment convergence for sequences of negatively dependent identically distributed random variables with ,  ,  , and ,  . As a result, we establish the new complete moment convergence theorems. Qunying Wu and Yuanying Jiang Copyright © 2016 Qunying Wu and Yuanying Jiang. All rights reserved. A Study of Online Review Promptness in a B2C System Tue, 26 Jul 2016 14:03:59 +0000 http://www.hindawi.com/journals/ddns/2016/3849153/ Web 2.0 technologies have attracted an increasing number of active online writers and viewers. A deeper understanding of when customers will review and what motivates them to write online reviews is of both theoretical and practical significance. In this paper, we present a novel methodological framework, which consists of theoretical modeling and text-mining technologies, to study the relationships among customers’ review promptness, their review opinions, and their review motivations. We first study customers’ online “purchase-review” behavior dynamics; then, we introduce the LDA method to mine customers’ opinion from their review text; finally, we propose a theoretical model to explore some motivations for those people publishing review online. The analytical and experimental results with real data from a Chinese B2C website demonstrate that the behavior dynamics of customers’ online review are influenced by the multidimensional motivations, and some of them can be observed from their review behaviors, such as review promptness. Junqiang Zhang, Liangqiang Li, and Yu Qian Copyright © 2016 Junqiang Zhang et al. All rights reserved. Discrete Dynamics in Evolutionary Computation and Its Applications Tue, 26 Jul 2016 06:01:52 +0000 http://www.hindawi.com/journals/ddns/2016/6043597/ Yong-Hyuk Kim, Ahmed Kattan, Michael Kampouridis, and Yourim Yoon Copyright © 2016 Yong-Hyuk Kim et al. All rights reserved. Dynamics of a Seasonally Forced Phytoplankton-Zooplankton Model with Impulsive Biological Control Mon, 25 Jul 2016 13:12:12 +0000 http://www.hindawi.com/journals/ddns/2016/2560195/ This paper investigates the dynamics of a seasonally forced phytoplankton-zooplankton model with impulsive biological control. It shows that the periodic eradicated solution is unstable. Further, the condition for permanence of the system is established by relations between the model parameters and the intensity of the impulses. The numerical analysis is performed to study the effect of seasonality and impulsive perturbations on plankton dynamics. The numerical results imply that the seasonal forcing can trigger more periodic mode and the impulsive period for control of the size of phytoplankton is more practicable to the system than the impulsive release of zooplankton. These conclusions provide a better understanding of controlling harmful algae blooms. Jianglin Zhao and Yong Yan Copyright © 2016 Jianglin Zhao and Yong Yan. All rights reserved. Unilateral Global Bifurcation for Fourth-Order Problems and Its Applications Mon, 25 Jul 2016 11:56:15 +0000 http://www.hindawi.com/journals/ddns/2016/8457098/ We will establish unilateral global bifurcation result for a class of fourth-order problems. Under some natural hypotheses on perturbation function, we show that is a bifurcation point of the above problems and there are two distinct unbounded continua, and , consisting of the bifurcation branch from , where is the th eigenvalue of the linear problem corresponding to the above problems. As the applications of the above result, we study the existence of nodal solutions for the following problems: , , where is a parameter and are given constants; with on any subinterval of ; and is continuous with for We give the intervals for the parameter which ensure the existence of nodal solutions for the above fourth-order Dirichlet problems if or where and We use unilateral global bifurcation techniques and the approximation of connected components to prove our main results. Wenguo Shen Copyright © 2016 Wenguo Shen. All rights reserved. Simulating the Effects of Noncrossing Block Sections Setting Rules on Capacity Loss of Double-Track Railway Line due to the Operation of out-of-Gauge Trains Mon, 25 Jul 2016 06:55:29 +0000 http://www.hindawi.com/journals/ddns/2016/2319437/ Dispatchers often set noncrossing block sections (NCBSs) for railway out-of-gauge train (OGT) running on double-track railway line for safety reasons. In this paper, we will investigate the best location, length, and number of noncrossing block sections to reduce railway capacity loss due to the operation of OGTs. Firstly, yielding, overtaking, stopping, starting, and other operation rules for OGTs running on double-track railway line were designed, and a simulation model based on cellular automata was further put forward. Then, an assessment model for double-track railway line capacity loss due to the operation of OGTs was set up. Some simulation experiments and the comparisons of these results were further given to achieve the optimal setting of NCBS for OGTs running on double-track railway line. In the case of NCBSs number minus one, capacity loss caused by the operation of OGTs can be reduced up to 15.2% in the upstream direction and 6.3% in the downstream direction. Also, the NCBSs should lie at the nearest block sections (BSs) to depot stations and the NCBSs lengths should be as less as possible. Yinggui Zhang, Qiong-fang Zeng, Dingyou Lei, and Xinyu Wang Copyright © 2016 Yinggui Zhang et al. All rights reserved. Dynamic Analysis for a Fractional-Order Autonomous Chaotic System Thu, 21 Jul 2016 12:36:42 +0000 http://www.hindawi.com/journals/ddns/2016/8712496/ We introduce a discretization process to discretize a modified fractional-order optically injected semiconductor lasers model and investigate its dynamical behaviors. More precisely, a sufficient condition for the existence and uniqueness of the solution is obtained, and the necessary and sufficient conditions of stability of the discrete system are investigated. The results show that the system’s fractional parameter has an effect on the stability of the discrete system, and the system has rich dynamic characteristics such as Hopf bifurcation, attractor crisis, and chaotic attractors. Jiangang Zhang, Juan Nan, Wenju Du, Yandong Chu, and Hongwei Luo Copyright © 2016 Jiangang Zhang et al. All rights reserved. P2P Lending Risk Contagion Analysis Based on a Complex Network Model Wed, 20 Jul 2016 16:58:17 +0000 http://www.hindawi.com/journals/ddns/2016/5013954/ This paper analyzes two major channels of P2P lending risk contagion in China—direct risk contagion between platforms and indirect risk contagion with other financial organizations as the contagion medium. Based on this analysis, the current study constructs a complex network model of P2P lending risk contagion in China and performs dynamics analogue simulations in order to analyze general characteristics of direct risk contagion among China’s online P2P lending platforms. The assumed conditions are that other financial organizations act as the contagion medium, with variations in the risk contagion characteristics set under the condition of significant information asymmetry in Internet lending. It is indicated that, compared to direct risk contagion among platforms, both financial organizations acting as the contagion medium and information asymmetry magnify the effect of risk contagion. It is also found that the superposition of media effects and information asymmetry is more likely to magnify the risk contagion effect. Qi Wei and Qiang Zhang Copyright © 2016 Qi Wei and Qiang Zhang. All rights reserved. Differential Dynamic Evolutionary Model of Emergency Financial Service Supply Chain in Natural Disaster Risk Management Wed, 20 Jul 2016 13:42:09 +0000 http://www.hindawi.com/journals/ddns/2016/5103716/ A government-market-public partnership (GMPP) could be a feasible arrangement for providing insurance coverage for natural disaster. Firstly, we put forward GMPP management mode. Secondly, the emergency financial service supply chain for natural disaster risk is built from the view of supply chain. Finally, the objective of this paper is to obtain insights into the cooperative and competitive relationship in GMPP system. We establish the cooperative and competitive differential dynamic evolutionary models and prove the existence of equilibrium solutions in order to solve the coordination problems. In conclusion, the equilibrium solutions can be achieved among the insurers, the operating governments, and the public. Shujian Ma Copyright © 2016 Shujian Ma. All rights reserved. Control Law Design for Twin Rotor MIMO System with Nonlinear Control Strategy Wed, 20 Jul 2016 11:35:20 +0000 http://www.hindawi.com/journals/ddns/2016/2952738/ Modeling of complex air vehicles is a challenging task due to high nonlinear behavior and significant coupling effect between rotors. Twin rotor multi-input multioutput system (TRMS) is a laboratory setup designed for control experiments, which resembles a helicopter with unstable, nonlinear, and coupled dynamics. This paper focuses on the design and analysis of sliding mode control (SMC) and backstepping controller for pitch and yaw angle control of main and tail rotor of the TRMS under parametric uncertainty. The proposed control strategy with SMC and backstepping achieves all mentioned limitations of TRMS. Result analysis of SMC and backstepping control schemes elucidates that backstepping provides efficient behavior with the parametric uncertainty for twin rotor system. Chattering and oscillating behaviors of SMC are removed with the backstepping control scheme considering the pitch and yaw angle for TRMS. M. Ilyas, N. Abbas, M. UbaidUllah, Waqas A. Imtiaz, M. A. Q. Shah, and K. Mahmood Copyright © 2016 M. Ilyas et al. All rights reserved. A Location-Inventory-Routing Problem in Forward and Reverse Logistics Network Design Wed, 20 Jul 2016 09:19:07 +0000 http://www.hindawi.com/journals/ddns/2016/3475369/ We study a new problem of location-inventory-routing in forward and reverse logistic (LIRP-FRL) network design, which simultaneously integrates the location decisions of distribution centers (DCs), the inventory policies of opened DCs, and the vehicle routing decision in serving customers, in which new goods are produced and damaged goods are repaired by a manufacturer and then returned to the market to satisfy customers’ demands as new ones. Our objective is to minimize the total costs of manufacturing and remanufacturing goods, building DCs, shipping goods (new or recovered) between the manufacturer and opened DCs, and distributing new or recovered goods to customers and ordering and storage costs of goods. A nonlinear integer programming model is proposed to formulate the LIRP-FRL. A new tabu search (NTS) algorithm is developed to achieve near optimal solution of the problem. Numerical experiments on the benchmark instances of a simplified version of the LIRP-FRL, the capacitated location routing problem, and the randomly generated LIRP-FRL instances demonstrate the effectiveness and efficiency of the proposed NTS algorithm in problem resolution. Qunli Yuchi, Zhengwen He, Zhen Yang, and Nengmin Wang Copyright © 2016 Qunli Yuchi et al. All rights reserved. Bifurcation Analysis of Gene Propagation Model Governed by Reaction-Diffusion Equations Tue, 19 Jul 2016 14:30:05 +0000 http://www.hindawi.com/journals/ddns/2016/9840297/ We present a theoretical analysis of the attractor bifurcation for gene propagation model governed by reaction-diffusion equations. We investigate the dynamical transition problems of the model under the homogeneous boundary conditions. By using the dynamical transition theory, we give a complete characterization of the bifurcated objects in terms of the biological parameters of the problem. Guichen Lu Copyright © 2016 Guichen Lu. All rights reserved. Dynamical Behavior of a Stochastic Delayed One-Predator and Two-Mutualistic-Prey Model with Markovian Switching and Different Functional Responses Tue, 19 Jul 2016 13:42:29 +0000 http://www.hindawi.com/journals/ddns/2016/8453175/ We propose a stochastic delayed one-predator and two-mutualistic-prey model perturbed by white noise and telegraph noise. By the -matrix analysis and Lyapunov functions, sufficient conditions of stochastic permanence and extinction are established, respectively. These conditions are all dependent on the subsystems’ parameters and the stationary probability distribution of the Markov chain. We also investigate another asymptotic property and finally give two examples and numerical simulations to illustrate main results. Rensheng He, Zuoliang Xiong, and Desheng Hong Copyright © 2016 Rensheng He et al. All rights reserved. Modeling and Nonlinear Response of the Cam-Follower Oblique-Impact System Tue, 19 Jul 2016 07:26:43 +0000 http://www.hindawi.com/journals/ddns/2016/6142501/ In order to quickly and accurately analyze the complex behavior of cam-follower oblique-impact system, a mathematical model which can describe separation, impact, and contact was established in this paper. The transient impact hypothesis was extended, and the oblique collision model was established by considering the tangential slip. Moreau time-stepping method was employed to solve the linear complementarity problem which transformed by the oblique-impact equations. The simulation results show that the cam and follower kept permanent contact when the cam rotational speed was low. With the increase of the cam rotational speed, the cam and follower would be separated and then impact under the gravity action. The system performance shows very complex nonlinear characteristics. Yong-Feng Yang, Yu Lu, Ting-Dong Jiang, and Na Lu Copyright © 2016 Yong-Feng Yang et al. All rights reserved. A Cost Optimization Model for Multiresource Leveling Problem without Project Duration Constraint Mon, 18 Jul 2016 15:51:38 +0000 http://www.hindawi.com/journals/ddns/2016/1514959/ The study of traditional resource leveling problem aims at minimizing the resource usage fluctuations and obtaining sustainable resource supplement, which is accomplished by adjusting noncritical activities within their start and finish time. However, there exist limitations in terms of the traditional resource leveling problem based on the fixed project duration. This paper assumes that the duration can be changed in a certain range and then analyzes the relationship between the scarce resource usage fluctuations and project cost. This paper proposes an optimization model for the multiresource leveling problem. We take into consideration five kinds of cost: the extra hire cost when the resource demand is greater than the resource available amount, the idle cost of resource when the resource available amount is greater than the resource demand, the indirect cost related to the duration, the liquidated damages when the project duration is extended, and the incentive fee when the project duration is reduced. The optimal objective of this model is to minimize the sum of the aforementioned five kinds of cost. Finally, a case study is examined to highlight the characteristic of the proposed model at the end of this paper. Qingyou Yan, Qian Zhang, and Xin Zou Copyright © 2016 Qingyou Yan et al. All rights reserved. Robust Event-Triggered Energy-to-Peak Filtering for Polytopic Uncertain Systems over Lossy Network with Quantized Measurements Mon, 18 Jul 2016 13:32:50 +0000 http://www.hindawi.com/journals/ddns/2016/2867932/ The event-triggered energy-to-peak filtering for polytopic discrete-time linear systems is studied with the consideration of lossy network and quantization error. Because of the communication imperfections from the packet dropout of lossy link, the event-triggered condition used to determine the data release instant at the event generator (EG) can not be directly applied to update the filter input at the zero order holder (ZOH) when performing filter performance analysis and synthesis. In order to balance such nonuniform time series between the triggered instant of EG and the updated instant of ZOH, two event-triggered conditions are defined, respectively, whereafter a worst-case bound on the number of consecutive packet losses of the transmitted data from EG is given, which marginally guarantees the effectiveness of the filter that will be designed based on the event-triggered updating condition of ZOH. Then, the filter performance analysis conditions are obtained under the assumption that the maximum number of packet losses is allowable for the worst-case bound. In what follows, a two-stage LMI-based alternative optimization approach is proposed to separately design the filter, which reduces the conservatism of the traditional linearization method of filter analysis conditions. Subsequently a codesign algorithm is developed to determine the communication and filter parameters simultaneously. Finally, an illustrative example is provided to verify the validity of the obtained results. Jidong Wang and Kezhen Han Copyright © 2016 Jidong Wang and Kezhen Han. All rights reserved. An Improved Gaussian Mixture CKF Algorithm under Non-Gaussian Observation Noise Sun, 17 Jul 2016 09:51:21 +0000 http://www.hindawi.com/journals/ddns/2016/1082837/ In order to solve the problems that the weight of Gaussian components of Gaussian mixture filter remains constant during the time update stage, an improved Gaussian Mixture Cubature Kalman Filter (IGMCKF) algorithm is designed by combining a Gaussian mixture density model with a CKF for target tracking. The algorithm adopts Gaussian mixture density function to approximately estimate the observation noise. The observation models based on Mini RadaScan for target tracking on offing are introduced, and the observation noise is modelled as glint noise. The Gaussian components are predicted and updated using CKF. A cost function is designed by integral square difference to update the weight of Gaussian components on the time update stage. Based on comparison experiments of constant angular velocity model and maneuver model with different algorithms, the proposed algorithm has the advantages of fast tracking response and high estimation precision, and the computation time should satisfy real-time target tracking requirements. Hongjian Wang and Cun Li Copyright © 2016 Hongjian Wang and Cun Li. All rights reserved. A Fractional Trust Region Method for Linear Equality Constrained Optimization Thu, 14 Jul 2016 16:52:54 +0000 http://www.hindawi.com/journals/ddns/2016/8676709/ A quasi-Newton trust region method with a new fractional model for linearly constrained optimization problems is proposed. We delete linear equality constraints by using null space technique. The fractional trust region subproblem is solved by a simple dogleg method. The global convergence of the proposed algorithm is established and proved. Numerical results for test problems show the efficiency of the trust region method with new fractional model. These results give the base of further research on nonlinear optimization. Honglan Zhu, Qin Ni, Liwei Zhang, and Weiwei Yang Copyright © 2016 Honglan Zhu et al. All rights reserved. A Study on the Pricing Model for 3PL of Inventory Financing Thu, 14 Jul 2016 08:18:12 +0000 http://www.hindawi.com/journals/ddns/2016/6489748/ Being a new research area, logistics finance solves the contradiction between banks and SMEs (small and medium enterprises) about financing; it is beneficial to financial market and logistics market development too. As a service innovation, it unites the interests of bank, 3PL (third-party logistics) providers, and SMEs and integrates material, finance, and information. Logistics finance has been developed in recent years in China, but the research is not enough on 3PL enterprises. On the background of that, the paper makes a research in the field of logistics finance with different pricing methods, based on the perspective of third-party logistics enterprises. This paper proposes a pricing model of inventory financing that can maximize the cash flow of 3PL enterprise, when the default rate of the small- and medium-sized enterprise is affected by the pledge price. And then this paper studies the model of inventory financing that can maximize the cash flow of enterprise under the condition of the existence of cash discount rate. The core factors affecting the loan-to-value ratio were established through analysis of mathematical model. We also consider the loan-to-value ratio of cash discount rate in the model. Results show that in the pledge of the known function and cash discount the price change can be calculated to meet enterprise cash flow lending rates and get biggest loan-to-value ratio. Zhilan Song, Huan Huang, Wenxue Ran, and Sen Liu Copyright © 2016 Zhilan Song et al. All rights reserved. Chaos Control on a Duopoly Game with Homogeneous Strategy Tue, 12 Jul 2016 14:24:04 +0000 http://www.hindawi.com/journals/ddns/2016/7418252/ We study the dynamics of a nonlinear discrete-time duopoly game, where the players have homogenous knowledge on the market demand and decide their outputs based on adaptive expectation. The Nash equilibrium and its local stability are investigated. The numerical simulation results show that the model may exhibit chaotic phenomena. Quasiperiodicity is also found by setting the parameters at specific values. The system can be stabilized to a stable state by using delayed feedback control method. The discussion of control strategy shows that the effect of both firms taking control method is better than that of single firm taking control method. Manying Bai and Yazhou Gao Copyright © 2016 Manying Bai and Yazhou Gao. All rights reserved. Fractional-Order Discrete-Time Laguerre Filters: A New Tool for Modeling and Stability Analysis of Fractional-Order LTI SISO Systems Tue, 12 Jul 2016 11:30:19 +0000 http://www.hindawi.com/journals/ddns/2016/9590687/ This paper presents new results on modeling and analysis of dynamics of fractional-order discrete-time linear time-invariant single-input single-output (LTI SISO) systems by means of new, two-layer, “fractional-order discrete-time Laguerre filters.” It is interesting that the fractionality of the filters at the upper system dynamics layer is directly projected from the lower Laguerre-based approximation layer for the Grünwald-Letnikov difference. A new stability criterion for discrete-time fractional-order Laguerre-based LTI SISO systems is introduced and supplemented with a stability preservation analysis. Both the stability criterion and the stability preservation analysis bring up rather surprising results, which is illustrated with simulation examples. Rafał Stanisławski and Krzysztof J. Latawiec Copyright © 2016 Rafał Stanisławski and Krzysztof J. Latawiec. All rights reserved. Approaching the Discrete Dynamical Systems by means of Skew-Evolution Semiflows Tue, 12 Jul 2016 09:25:14 +0000 http://www.hindawi.com/journals/ddns/2016/4375069/ The aim of this paper is to highlight current developments and new trends in the stability theory. Due to the outstanding role played in the study of stable, instable, and, respectively, central manifolds, the properties of exponential dichotomy and trichotomy for evolution equations represent two domains of the stability theory with an impressive development. Hence, we intend to construct a framework for an asymptotic approach of these properties for discrete dynamical systems using the associated skew-evolution semiflows. To this aim, we give definitions and characterizations for the properties of exponential stability and instability, and we extend these techniques to obtain a unified study of the properties of exponential dichotomy and trichotomy. The results are underlined by several examples. Codruţa Stoica Copyright © 2016 Codruţa Stoica. All rights reserved. Management of Uncertainty by Statistical Process Control and a Genetic Tuned Fuzzy System Tue, 12 Jul 2016 09:07:26 +0000 http://www.hindawi.com/journals/ddns/2016/1548986/ In food industry, bioprocesses like fermentation often are a crucial part of the manufacturing process and decisive for the final product quality. In general, they are characterized by highly nonlinear dynamics and uncertainties that make it difficult to control these processes by the use of traditional control techniques. In this context, fuzzy logic controllers offer quite a straightforward way to control processes that are affected by nonlinear behavior and uncertain process knowledge. However, in order to maintain process safety and product quality it is necessary to specify the controller performance and to tune the controller parameters. In this work, an approach is presented to establish an intelligent control system for oxidoreductive yeast propagation as a representative process biased by the aforementioned uncertainties. The presented approach is based on statistical process control and fuzzy logic feedback control. As the cognitive uncertainty among different experts about the limits that define the control performance as still acceptable may differ a lot, a data-driven design method is performed. Based upon a historic data pool statistical process corridors are derived for the controller inputs control error and change in control error. This approach follows the hypothesis that if the control performance criteria stay within predefined statistical boundaries, the final process state meets the required quality definition. In order to keep the process on its optimal growth trajectory (model based reference trajectory) a fuzzy logic controller is used that alternates the process temperature. Additionally, in order to stay within the process corridors, a genetic algorithm was applied to tune the input and output fuzzy sets of a preliminarily parameterized fuzzy controller. The presented experimental results show that the genetic tuned fuzzy controller is able to keep the process within its allowed limits. The average absolute error to the reference growth trajectory is 5.2 × 106 cells/mL. The controller proves its robustness to keep the process on the desired growth profile. Stephan Birle, Mohamed Ahmed Hussein, and Thomas Becker Copyright © 2016 Stephan Birle et al. All rights reserved. Research on the Effects of Heterogeneity on Pedestrian Dynamics in Walkway of Subway Station Mon, 11 Jul 2016 14:14:19 +0000 http://www.hindawi.com/journals/ddns/2016/4961681/ The major objective of this paper is to study the effects of heterogeneity on pedestrian dynamics in walkway of subway station. We analyze the observed data of the selected facility and find that walking speed and occupied space were varied in the population. In reality, pedestrians are heterogeneous individuals with different attributes. However, the research on how the heterogeneity affects the pedestrian dynamics in facilities of subway stations is insufficient. The improved floor field model is therefore presented to explore the effects of heterogeneity. Pedestrians are classified into pedestrians walking in pairs, fast pedestrians, and ordinary pedestrians. For convenience, they are denoted as P-pedestrians, F-pedestrians, and O-pedestrians, respectively. The proposed model is validated under homogeneous and heterogeneous conditions. Three pedestrian compositions are simulated to analyze the effects of heterogeneity on pedestrian dynamics. The results show that P-pedestrians have negative effect and F-pedestrians have positive effect. All of the results in this paper indicate that the capacity of walkway is not a constant value. It changes with different component proportions of heterogeneous pedestrians. The heterogeneity of pedestrian has an important influence on the pedestrian dynamics in the walkway of the subway station. Haoling Wu, Zhenzhou Yuan, Huixuan Li, and Junfang Tian Copyright © 2016 Haoling Wu et al. All rights reserved. Asymptotic Stability Analysis of Binary Heterogeneous Traffic Based on Car-Following Model Sun, 03 Jul 2016 08:38:55 +0000 http://www.hindawi.com/journals/ddns/2016/3480368/ We study the asymptotic stability of Chandler Model for a heterogeneous traffic by using numerical simulations. A simple binary platoon is considered which consists of two types of vehicles. Platoon stabilities under various kinds of combinations of parameters are investigated. It is found that the stability of the binary platoon cannot be determined by the mean values of individual vehicle’s parameters. Some combinations of parameters that benefit to the platoon stability are found. Several interesting properties of binary platoon’s stability are summarized. The analytic stability criterion of heterogeneous traffic reported in the historical literature is studied. The result indicates the analytic criterion is not rigorous, which is apt to overestimate the stability of heterogeneous platoon. Hao Wang, Qian Wan, and Wei Wang Copyright © 2016 Hao Wang et al. All rights reserved. Solving a Closed-Loop Location-Inventory-Routing Problem with Mixed Quality Defects Returns in E-Commerce by Hybrid Ant Colony Optimization Algorithm Thu, 30 Jun 2016 13:44:04 +0000 http://www.hindawi.com/journals/ddns/2016/6467812/ This paper presents a closed-loop location-inventory-routing problem model considering both quality defect returns and nondefect returns in e-commerce supply chain system. The objective is to minimize the total cost produced in both forward and reverse logistics networks. We propose a combined optimization algorithm named hybrid ant colony optimization algorithm (HACO) to address this model that is an NP-hard problem. Our experimental results show that the proposed HACO is considerably efficient and effective in solving this model. Shuai Deng, Yanhui Li, Hao Guo, and Bailing Liu Copyright © 2016 Shuai Deng et al. All rights reserved. Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise Thu, 30 Jun 2016 11:16:52 +0000 http://www.hindawi.com/journals/ddns/2016/7848793/ Little seems to be known about the ergodicity of random dynamical systems with multiplicative nonlinear noise. This paper is devoted to discern asymptotic behavior dynamics through the stochastic coral reefs model with multiplicative nonlinear noise. By support theorem and Hörmander theorem, the Markov semigroup corresponding to the solutions is to prove the Foguel alternative. Based on boundary distributions theory, the required conservative operators related to the solutions are further established to ensure the existence a stationary distribution. Meanwhile, the density of the distribution of the solutions either converges to a stationary density or weakly converges to some probability measure. Zaitang Huang Copyright © 2016 Zaitang Huang. All rights reserved. Local Discontinuous Galerkin Methods Coupled with Implicit Integration Factor Methods for Solving Reaction-Cross-Diffusion Systems Wed, 29 Jun 2016 13:17:19 +0000 http://www.hindawi.com/journals/ddns/2016/5345032/ We present a new numerical method for solving nonlinear reaction-diffusion systems with cross-diffusion which are often taken as mathematical models for many applications in the biological, physical, and chemical sciences. The two-dimensional system is discretized by the local discontinuous Galerkin (LDG) method on unstructured triangular meshes associated with the piecewise linear finite element spaces, which can derive not only numerical solutions but also approximations for fluxes at the same time comparing with most of study work up to now which has derived numerical solutions only. Considering the stability requirement for the explicit scheme with strict time step restriction (), the implicit integration factor (IIF) method is employed for the temporal discretization so that the time step can be relaxed as . Moreover, the method allows us to compute element by element and avoids solving a global system of nonlinear algebraic equations as the standard implicit schemes do, which can reduce the computational cost greatly. Numerical simulations about the system with exact solution and the Brusselator model, which is a theoretical model for a type of autocatalytic chemical reaction, are conducted to confirm the expected accuracy, efficiency, and advantages of the proposed schemes. Na An, Xijun Yu, Chaobao Huang, and Maochang Duan Copyright © 2016 Na An et al. All rights reserved. Global Character of a Six-Dimensional Nonlinear System of Difference Equations Tue, 28 Jun 2016 15:21:03 +0000 http://www.hindawi.com/journals/ddns/2016/6842521/ The aim of this paper is to study the dynamical behavior of positive solutions for a system of rational difference equations of the following form: , , , where the parameters and the initial values for are positive real numbers. Mehmet Gümüş and Yüksel Soykan Copyright © 2016 Mehmet Gümüş and Yüksel Soykan. All rights reserved.