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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 7
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Articles

Stability of invasion traveling waves for a competition system with nonlocal dispersals

Zhixian YuCollege of Science, University of Shanghai for Science and Technology, Shanghai, China.Correspondence[email protected]
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Fang XuCollege of Science, University of Shanghai for Science and Technology, Shanghai, China.View further author information
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Weiguo ZhangCollege of Science, University of Shanghai for Science and Technology, Shanghai, China.View further author information
Pages 1107-1125 | Received 11 Jan 2016, Accepted 09 Apr 2016, Published online: 29 Apr 2016

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Ting-Ting Du, Guo-Bao Zhang, Yu-Cai Hao & Ya-Qin Shu. (2023) Existence and stability of traveling wavefronts for a nonlocal delay Belousov–Zhabotinskii system. Applicable Analysis 102:17, pages 4828-4850.
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Articles from other publishers (28)

Jiali Zhan, Jiding Liao & Hongyong Wang. (2024) Minimal-Speed Selection to a Lotka–Volterra Competition System with Local Versus Nonlocal Diffusions and Cubic Nonlinearity. Qualitative Theory of Dynamical Systems 23:4.
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Meng-Lin Wang, Guo-Bao Zhang & Pu He. (2024) Invasion traveling waves of a three species Lotka–Volterra competitive system with nonlocal dispersal. Communications in Nonlinear Science and Numerical Simulation 132, pages 107939.
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Xing-Xing Yang, Guo-Bao Zhang & Ge Tian. (2023) The dynamics of traveling wavefronts for a model describing host tissue degradation by bacteria. International Journal of Biomathematics 17:03.
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Shengqiang Zhang, Zhixian Yu & Yanling Meng. (2024) STABILITY OF TRAVELING WAVE FRONTS FOR NONLOCAL DIFFUSIVE SYSTEMS. Journal of Applied Analysis & Computation 14:4, pages 2063-2081.
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Yeqing Xue, Zhaohai Ma & Zhihua Liu. (2023) Stability of Planar Traveling Waves for a Class of Lotka–Volterra Competition Systems with Time Delay and Nonlocal Reaction Term. Qualitative Theory of Dynamical Systems 22:4.
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Rui Yan, Guirong Liu & Xiaocui Li. (2023) Nonlinear stability of forced traveling waves for a Lotka–Volterra cooperative model under climate change. Mathematical Methods in the Applied Sciences 46:15, pages 16126-16143.
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Zheng‐Jie Yang, Guo‐Bao Zhang & Juan He. (2023) Existence and stability of traveling wavefronts for a three‐species Lotka–Volterra competitive‐cooperative system with nonlocal dispersal. Mathematical Methods in the Applied Sciences 46:12, pages 13051-13073.
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Yu-Cai Hao & Guo-Bao Zhang. (2022) Global stability of bistable traveling wavefronts for a three-species Lotka–Volterra competition system with nonlocal dispersal. International Journal of Biomathematics 16:05.
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Yu-Cai Hao, Guo-Bao Zhang & Juan He. (2023) Exponential stability of traveling wavefronts for a system modeling the geographic spread of black-legged tick Ixodes scapularis. Zeitschrift für angewandte Mathematik und Physik 74:3.
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Xin Wu & Zhaohai Ma. (2022) Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay. Open Mathematics 20:1, pages 1451-1469.
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Yang Wang, Hongliang Li & Xiong Li. (2021) Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 152:4, pages 912-938.
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Yu-Cai Hao & Guo-Bao Zhang. (2022) Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system. Electronic Journal of Differential Equations 2022:01-87, pages 49.
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Yonghui Zhou & Shuguan Ji. (2022) Global stability of traveling wave fronts for a population dynamics model with quiescent stage and delay. International Journal of Biomathematics 15:05.
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Yu-Cai Hao & Guo-Bao Zhang. (2022) The dynamics of traveling wavefronts for a nonlocal delay competition system with local vs. nonlocal diffusions. Communications in Nonlinear Science and Numerical Simulation 110, pages 106381.
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Ma Manjun, Yue Yuanxi & Ou Chunhua. (2021) Bistable wave speed of a Lotka-Volterra system with nonlocal dispersal. SCIENTIA SINICA Mathematica 52:4, pages 381.
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Yanling Meng, Zhixian Yu & Shengqiang Zhang. (2021) Stability of traveling wave fronts for nonlocal diffusive systems. International Journal of Biomathematics 14:03.
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Qian Zhang & Guo-Bao Zhang. (2020) Front-like Entire Solutions for a Lotka-Volterra Weak Competition System with Nonlocal Dispersal. Journal of Dynamical and Control Systems 27:1, pages 133-151.
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Zhixian Yu & Cheng-Hsiung Hsu. (2020) Wave propagation and its stability for a class of discrete diffusion systems. Zeitschrift für angewandte Mathematik und Physik 71:6.
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Tao Su & Guo-Bao Zhang. (2020) Global Stability of Non-monotone Noncritical Traveling Waves for a Discrete Diffusion Equation with a Convolution Type Nonlinearity. Taiwanese Journal of Mathematics 24:4.
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Si Su & Guo-Bao Zhang. (2020) Global stability of traveling waves for delay reaction-diffusion systems without quasi-monotonicity. Electronic Journal of Differential Equations 2020:01-132, pages 46.
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Guo-Bao Zhang & Xiao-Qiang Zhao. (2019) Propagation phenomena for a two-species Lotka–Volterra strong competition system with nonlocal dispersal. Calculus of Variations and Partial Differential Equations 59:1.
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Dongmei Yuan & Yuzhen Bai. (2019) Stability of Traveling Wave Fronts for a Three Species Predator-Prey Model with Nonlocal Dispersals. Complexity 2019, pages 1-15.
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Guo-Bao Zhang. (2019) Global stability of non-monotone traveling wave solutions for a nonlocal dispersal equation with time delay. Journal of Mathematical Analysis and Applications 475:1, pages 605-627.
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Guang-Sheng Chen, Shi-Liang Wu & Cheng-Hsiung Hsu. (2019) Stability of traveling wavefronts for a discrete diffusive competition system with three species. Journal of Mathematical Analysis and Applications 474:2, pages 909-930.
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Jiao Wang, Zhixian Yu & Yanling Meng. (2019) Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals. International Journal of Biomathematics 12:01, pages 1950004.
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Guo-Bao Zhang, Yan Li & Zhaosheng Feng. (2018) Exponential stability of traveling waves in a nonlocal dispersal epidemic model with delay. Journal of Computational and Applied Mathematics 344, pages 47-72.
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Zhixian Yu & Jingwen Pei. (2018) Stability of traveling wave fronts for a cooperative system with nonlocal dispersals. Japan Journal of Industrial and Applied Mathematics 35:2, pages 817-834.
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Cheng-Hsiung Hsu, Tzi-Sheng Yang & Zhixian Yu. (2018) Existence and exponential stability of traveling waves for delayed reaction-diffusion systems. Nonlinearity 31:3, pages 838-863.
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