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Citations to this Journal [3,638 citations: 1–100 of 2,584 articles]

Articles published in Discrete Dynamics in Nature and Society have been cited 3,638 times. The following is a list of the 2,584 articles that have cited the articles published in Discrete Dynamics in Nature and Society.

  • Mingming Li, and Xianning Liu, “An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • A. S. Al-Fhaid, S. Shateyi, M. Zaka Ullah, and F. Soleymani, “A Matrix Iteration for Finding Drazin Inverse with Ninth-Order Convergence,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Hai Zhang, Daiyong Wu, and Jinde Cao, “Asymptotic Stability of Caputo Type Fractional Neutral Dynamical Systems with Multiple Discrete Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Wei Chen, and Shuhua Gong, “Global Exponential Stability of Antiperiodic Solution for Impulsive High-Order Hopfield Neural Networks,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Chunqing Wu, Shengming Fan, and Patricia J. Y. Wong, “Theoretical Studies on the Effects of Dispersal Corridors on the Permanence of Discrete Predator-Prey Models in Patchy Environment,” Abstract and Applied Analysis, vol. 2014, pp. 1–16, 2014. View at Publisher · View at Google Scholar
  • Xinze Lian, Guichen Lu, and Hailing Wang, “Pattern Formation in a Bacterial Colony Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Xiaoming Fan, “Global Stability of Multigroup SIRS Epidemic Model with Varying Population Sizes and Stochastic Perturbation around Equilibrium,” Abstract and Applied Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Ying Du, and Changlin Mei, “Implicit Numerical Solutions for Solving Stochastic Differential Equations with Jumps,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Jia-Bao Liu, Xiang-Feng Pan, and Jinde Cao, “Some Properties on Estrada Index of Folded Hypercubes Networks,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Min Zhao, and Chuanjun Dai, “Nonlinear Dynamic in an Ecological System with Impulsive Effect and Optimal Foraging,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Shun-Qin Wang, Yong-Ju Yang, and Hassan Kamil Jassim, “Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Jinna Lu, Hongping Hu, and Yanping Bai, “Radial Basis Function Neural Network Based on an Improved Exponential Decreasing Inertia Weight-Particle Swarm Optimization Algorithm for AQI Prediction,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Zhineng Hu, Yurong Pei, and Ruikun Xie, “Analysis of Product Sampling for New Product Diffusion Incorporating Multiple-Unit Ownership,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Wenquan Wu, “Existence and Uniqueness of Globally Attractive Positive Almost Periodic Solution in a Predator-Prey Dynamic System with Beddington-DeAngelis Functional Response,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, and Hana Al-Hutami, “Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Liping Feng, Hongbin Wang, Qi Han, Qingshan Zhao, and Lipeng Song, “Modeling Peer-to-Peer Botnet on Scale-Free Network,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Kwang Sung Lee, and Abid Ali Lashari, “Global Stability of a Host-Vector Model for Pine Wilt Disease with Nonlinear Incidence Rate,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Xia-Xia Zhao, and Jian-Zhong Wang, “Dynamical Behaviors of Rumor Spreading Model with Control Measures,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • M. De la Sen, “On Nonnegative Solutions of Fractional -Linear Time-Varying Dynamic Systems with Delayed Dynamics,” Abstract and Applied Analysis, vol. 2014, pp. 1–19, 2014. View at Publisher · View at Google Scholar
  • Meirui Zhong, Anqi Zeng, Jianbai Huang, and Jinyu Chen, “The Analysis of Pricing Power of Preponderant Metal Mineral Resources under the Perspective of Intergenerational Equity and Social Preferences: An Analytical Framework Based on Cournot Equilibrium Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Mohamad Rafi Segi Rahmat, “Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Xujun Yang, Qiankun Song, Yurong Liu, and Zhenjiang Zhao, “Uniform Stability Analysis of Fractional-Order BAM Neural Networks with Delays in the Leakage Terms,” Abstract and Applied Analysis, vol. 2014, pp. 1–16, 2014. View at Publisher · View at Google Scholar
  • Xiaofeng Chen, Qiankun Song, Xiaohui Liu, and Zhenjiang Zhao, “Global -Stability of Complex-Valued Neural Networks with Unbounded Time-Varying Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Chao Wang, and Ravi P. Agarwal, “A Further Study of Almost Periodic Time Scales with Some Notes and Applications,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Shaher Momani, Asad Freihat, and Mohammed AL-Smadi, “Analytical Study of Fractional-Order Multiple Chaotic FitzHugh-Nagumo Neurons Model Using Multistep Generalized Differential Transform Method,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • D. V. Dolgy, D. S. Kim, T. G. Kim, and J. J. Seo, “Identities of Symmetry for Higher-Order Generalized -Euler Polynomials,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Ruimin Wang, Xiaozhuo Qi, Yuqiang Luo, and Jianqiang Dong, “A New Quasi-Human Algorithm for Solving the Packing Problem of Unit Equilateral Triangles,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Fei He, “Some Notes on the Existence of Solution for Ordinary Differential Equations via Fixed Point Theory,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Yumei Zou, Lishan Liu, and Yujun Cui, “The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Li-xin Yang, Wan-sheng He, Fan-di Zhang, and Jin-ping Jia, “Cluster Projective Synchronization of Fractional-Order Complex Network via Pinning Control,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Yue-Wen Cheng, and Hui-Sheng Ding, “Multiple Positive Periodic Solutions for a Functional Difference System,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Quanxin Zhang, and Xia Song, “On the Oscillation for Second-Order Half-Linear Neutral Delay Dynamic Equations on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Yang-Cong Qiu, and Qi-Ru Wang, “Oscillation Results for Second-Order Nonlinear Damped Dynamic Equations on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Feng Rao, “Dynamics Analysis of a Stochastic SIR Epidemic Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Xiaofeng Chen, Qiankun Song, Yurong Liu, and Zhenjiang Zhao, “Global μ-Stability of Impulsive Complex-Valued Neural Networks with Leakage Delay and Mixed Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–14, 2014. View at Publisher · View at Google Scholar
  • Shouxian Xiang, Zhenlai Han, Ping Zhao, and Ying Sun, “Oscillation Behavior for a Class of Differential Equation with Fractional-Order Derivatives,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Yapei Wang, Min Zhao, Chuanjun Dai, and Xinhong Pan, “Nonlinear Dynamics of a Nutrient-Plankton Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Xiaofan Yang, Bei Liu, and Chenquan Gan, “Global Stability of an Epidemic Model of Computer Virus,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014. View at Publisher · View at Google Scholar
  • Tingqiang Chen, Xindan Li, and Jianmin He, “Complex Dynamics of Credit Risk Contagion with Time-Delay and Correlated Noises,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Lihong Zhang, Dumitru Baleanu, and Guotao Wang, “Nonlocal Boundary Value Problem for Nonlinear Impulsive -Integrodifference Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Yanping Guo, Xuefei Lv, Yude Ji, and Yongchun Liang, “The Existence of Positive Solutions for a Fourth-Order Difference Equation with Sum Form Boundary Conditions,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Song Zheng, “Projective Synchronization Analysis of Drive-Response Coupled Dynamical Network with Multiple Time-Varying Delays via Impulsive Control,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Hamid A. Jalab, “Regularized Fractional Power Parameters for Image Denoising Based on Convex Solution of Fractional Heat Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Weidong Lv, “Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Jianping Liu, and Jinsong Chen, “Further Properties of Trees with Minimal Atom-Bond Connectivity Index,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Quanxin Zhang, and Shouhua Liu, “Oscillation Theorems for Second-Order Half-Linear Neutral Delay Dynamic Equations with Damping on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Yuping Cao, and Chuanzhi Bai, “Finite-Time Stability of Fractional-Order BAM Neural Networks with Distributed Delay,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Wei Shao, “Exponential Synchronization of Two Nonlinearly Coupled Complex Networks with Time-Varying Delayed Dynamical Nodes,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Mustafa A. Obaid, and A. M. Elaiw, “Stability of Virus Infection Models with Antibodies and Chronically Infected Cells,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • N. I. Mahmudov, and M. Momenzadeh, “On a Class of -Bernoulli, -Euler, and -Genocchi Polynomials,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Hongjian Xi, Taixiang Sun, Bin Qin, and Hui Wu, “Global Behavior of the Difference Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–5, 2014. View at Publisher · View at Google Scholar
  • Kun Yang, Xiangdong Xie, and Fengde Chen, “Global Stability of a Discrete Mutualism Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Hongbiao Fan, Min Meng, and Jun-e Feng, “Observers of Fuzzy Descriptor Systems with Time-Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Ping Bi, and Heying Xiao, “Bifurcations of Tumor-Immune Competition Systems with Delay,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Jianguo Ren, Yonghong Xu, and Jiming Liu, “Global Bifurcation of a Novel Computer Virus Propagation Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Chenquan Gan, Xiaofan Yang, and Qingyi Zhu, “Global Stability of a Computer Virus Propagation Model with Two Kinds of Generic Nonlinear Probabilities,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Yong-Hong Fan, and Lin-Lin Wang, “Sufficient and Necessary Conditions for the Permanence of a Discrete Model with Beddington-DeAngelis Functional Response,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Junhai Ma, and Yuehong Guo, “Research on Third-Party Collecting Game Model with Competition in Closed-Loop Supply Chain Based on Complex Systems Theory,” Abstract and Applied Analysis, vol. 2014, pp. 1–22, 2014. View at Publisher · View at Google Scholar
  • B. A. Jacobs, and C. Harley, “Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Qiuli He, Chunyan Tao, Taixiang Sun, Xinhe Liu, and Dongwei Su, “Periodicity of the Positive Solutions of a Fuzzy Max-Difference Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–4, 2014. View at Publisher · View at Google Scholar
  • Yujun Yang, “Some Bounds for the Kirchhoff Index of Graphs,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Wenhua Gao, Feiqi Deng, Ruiqiu Zhang, and Wenhui Liu, “Finite-Time Control for Time-Delayed Stochastic Systems with Markovian Switching,” Abstract and Applied Analysis, vol. 2014, pp. 1–10, 2014. View at Publisher · View at Google Scholar
  • Yunxian Dai, Yiping Lin, and Huitao Zhao, “Hopf Bifurcation and Global Periodic Solutions in a Predator-Prey System with Michaelis-Menten Type Functional Response and Two Delays,” Abstract and Applied Analysis, vol. 2014, pp. 1–16, 2014. View at Publisher · View at Google Scholar
  • Lulu Zheng, Yanfang Liu, and Xuejun Wang, “Complete Moment Convergence for Arrays of Rowwise -Mixing Random Variables,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Liang Zhao, Xiangdong Xie, Liya Yang, and Fengde Chen, “Dynamic Behaviors of a Discrete Lotka-Volterra Competition System with Infinite Delays and Single Feedback Control,” Abstract and Applied Analysis, vol. 2014, pp. 1–19, 2014. View at Publisher · View at Google Scholar
  • Junhai Ma, and Bin Chen, “The Complexity Uncertain Analysis about Three Differences Old and New Product Pricing Oligarch Retailers Closed-Loop Supply Chain,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Wenzhi Yang, Xinghui Wang, Xiaoqin Li, and Shuhe Hu, “The Convergence of Double-Indexed Weighted Sums of Martingale Differences and Its Application,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Seyma Tuluce Demiray, Yusuf Pandir, and Hasan Bulut, “Generalized Kudryashov Method for Time-Fractional Differential Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • Yu-Rong Zeng, Lin Wang, Xian-Hao Xu, and Qing-Liang Fu, “Optimizing the Joint Replenishment and Delivery Scheduling Problem under Fuzzy Environment Using Inverse Weight Fuzzy Nonlinear Programming Method,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • M. De La Sen, and Asier Ibeas, “Some Properties of Distances and Best Proximity Points of Cyclic Proximal Contractions in Metric Spaces,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Zhifeng Dai, “Extension of Modified Polak-Ribière-Polyak Conjugate Gradient Method to Linear Equality Constraints Minimization Problems,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Mei Yan, Yongfeng Li, and Zhongyi Xiang, “Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics,” Abstract and Applied Analysis, vol. 2014, pp. 1–15, 2014. View at Publisher · View at Google Scholar
  • Hai-Feng Huo, and Qian Wang, “Modelling the Influence of Awareness Programs by Media on the Drinking Dynamics,” Abstract and Applied Analysis, vol. 2014, pp. 1–8, 2014. View at Publisher · View at Google Scholar
  • Manuel De la Sen, and Asier Ibeas, “Convergence Properties and Fixed Points of Two General Iterative Schemes with Composed Maps in Banach Spaces with Applications to Guaranteed Global Stability,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • Xun-Yang Wang, Hai-Feng Huo, Qing-Kai Kong, and Wei-Xuan Shi, “Optimal Control Strategies in an Alcoholism Model,” Abstract and Applied Analysis, vol. 2014, pp. 1–18, 2014. View at Publisher · View at Google Scholar
  • M. De la Sen, A. Ibeas, and R. Nistal, “Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications,” Abstract and Applied Analysis, vol. 2014, pp. 1–17, 2014. View at Publisher · View at Google Scholar
  • Wencai Zhao, Yulin Liu, Tongqian Zhang, and Xinzhu Meng, “Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses,” Abstract and Applied Analysis, vol. 2014, pp. 1–18, 2014. View at Publisher · View at Google Scholar
  • Yang-Cong Qiu, and Qi-Ru Wang, “Oscillation Criteria of Second-Order Dynamic Equations with Damping on Time Scales,” Abstract and Applied Analysis, vol. 2014, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Fang Zhang, Junhai Ma, and Yanyan He, “Complexity Analysis of a Master-Slave Oligopoly Model and Chaos Control,” Abstract and Applied Analysis, vol. 2014, pp. 1–13, 2014. View at Publisher · View at Google Scholar
  • Xiaobing Zhou, Murong Jiang, and Xiaomei Cai, “Finite-Time Chaos Control of a Complex Permanent Magnet Synchronous Motor System,” Abstract and Applied Analysis, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Stevo Stević, Mohammed A. Alghamdi, Dalal A. Maturi, and Naseer Shahzad, “On the Periodicity of Some Classes of Systems of Nonlinear Difference Equations,” Abstract and Applied Analysis, vol. 2014, pp. 1–6, 2014. View at Publisher · View at Google Scholar
  • Liping Wang, Zongfu Zhou, and Hui Zhou, “Positive Solutions for Singular -Laplacian Fractional Differential System with Integral Boundary Conditions,” Abstract and Applied Analysis, vol. 2014, pp. 1–12, 2014. View at Publisher · View at Google Scholar
  • Lisheng Jin, Huacai Xian, Qingning Niu, and Jing Bie, “Research on safety evaluation model for in-vehicle secondary task driving,” Accident Analysis & Prevention, 2014. View at Publisher · View at Google Scholar
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  • Shao-jie Jiang, Xiao-en Li, and Xin-rui Feng, “Synthesis and Characterization of PAC-PDMDAAC Organic-Inorganic Hybrid Polymer Flocculants,” Acta Polymerica Sinica, no. 4, pp. 466–472, 2014. View at Publisher · View at Google Scholar
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  • Hui Fang, “Chaos in a single-species discrete population model with stage structure and birth pulses,” Advances in Difference Equations, 2014. View at Publisher · View at Google Scholar
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