In this paper, we research complete convergence and almost sure convergence under the sublinear expectations. As applications, we extend some complete and almost sure convergence theorems for weighted sums of negatively dependent random variables from the traditional probability space to the sublinear expectation space.

Ruixue Wang

Qunying Wu

Some Types of Convergence for Negatively Dependent Random Variables under Sublinear Expectations

This paper integrates carbon emission reduction via technological innovation with consumer channel preferences in both single- and dual-channel supply chains selling low-carbon products. Linear demand functions which simultaneously reflect the consumers&#x2019; channel preferences and low-carbon sensitivity are developed by considering the consumers&#x2019; segmentation. On this basis, we present two Stackelberg game models: one for each of the single- and dual-channel supply chains. In the first, the manufacturer sells low-carbon products through a traditional retailer who has a physical store, while in the second the manufacturer opens an online direct channel to compete with the traditional retailer. For the two models developed, the optimal pricing decisions, carbon emission reduction level, and profits are derived and discussed. Numerical examples are given to verify the effectiveness and practicality of the proposed models and solutions. The results show that supply chain members&#x2019; profits are affected by system parameters such as the carbon price, consumers&#x2019; low-carbon sensitivity, channel preference, etc. Furthermore, although the aforementioned parameters stimulate the manufacturer to reduce carbon emission, this does not always benefit the retailer. Comparison of the two models indicates that dual-channel selling is only the better choice for both the manufacturer and the retailer under certain conditions.

Chong Xin

Yunzhu Zhou

Xiaochen Zhu

Lin Li

Xin Chen

Optimal Decisions for Carbon Emission Reduction through Technological Innovation in a Hybrid-Channel Supply Chain with Consumers&#x2019; Channel Preferences

We consider a class of stochastic nonlinear Markovian jump systems (MJSs) with partly unknown transition rate and time-varying delays. The system under consideration is subject to the mode uncertainties and nonlinear term and disturbance term which are unknown. The main mission is to design the observer-based sliding mode controller for such a complex system. An observer is first constructed, and then we design an integral sliding mode surface such that the MJSs satisfy the reaching condition. The sliding mode control law ensures the stochastic stability of the closed-loop system. Finally, an example is given to illustrate the proposed results.

Xiaohan Yin

Quanxin Zhu

Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems

Considering the rapid development of the tourist leisure industry and the surge of tourist quantity, insufficient information regarding tourists has placed tremendous pressure on traffic in scenic areas. In this paper, the author uses the Big Data technology and Call Detail Record (CDR) data with the mobile phone real-time location information to monitor the tourist flow and analyse the travel behaviour of tourists in scenic areas. By collecting CDR data and implementing a modelling analysis of the data to simultaneously reflect the distribution of tourist hot spots in Beijing, tourist locations, tourist origins, tourist movements, resident information, and other data, the results provide big data support for alleviating traffic pressure at tourist attractions and tourist routes in the city and rationally allocating traffic resources. The analysis shows that the big data analysis method based on the CDR data of mobile phones can provide real-time information about tourist behaviours in a timely and effective manner. This information can be applied for the operation management of scenic areas and can provide real-time big data support for &#x201c;smart tourism&#x201d;.

Siyang Qin

Jie Man

Xuzhao Wang

Can Li

Honghui Dong

Xinquan Ge

Applying Big Data Analytics to Monitor Tourist Flow for the Scenic Area Operation Management

This paper establishes the existence of a nontrivial steady-state solution to a parabolic-parabolic coupled system with singular (or logarithmic) sensitivity and nonlinear source arising from chemotaxis. The proofs mainly rely on the maximum principle, the implicit function theorem, and the Hopf bifurcation theorem.

Yingjie Zhu

Existence of a Nontrivial Steady-State Solution to a Parabolic-Parabolic Chemotaxis System with Singular Sensitivity

In this paper, a new fractional-order system which has a chaotic attractor of the one-scroll structure is presented. Firstly, the stability of the equilibrium points of the system is investigated. And based on the stability analysis, the generation conditions of the one-scroll structure for the attractor are determined. In a commensurate-order case, bifurcations with the variation of a system parameter are investigated as derivative orders decrease from 0.99. In an incommensurate-order case, bifurcations with the variation of a derivative order are analyzed as other orders decrease from 1.

Xiaojun Liu

Ling Hong

Lixin Yang

Dafeng Tang

Bifurcations of a New Fractional-Order System with a One-Scroll Chaotic Attractor

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Discrete Dynamics in Nature and Society publishes research that links basic and applied research relating to discrete dynamics of complex systems encountered in the natural and social sciences.

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Chief Editor, Dr&nbsp;Renna, is an associate professor at the University of Basilicata, Italy. His research interests include manufacturing systems, production planning and enterprise networks.&nbsp;

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Discrete Dynamics in Nature and Society - Table of contents 2019

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Discrete Dynamics in Nature and Society