标题：Stability analysis of a fractional-order diffused prey–predator model with prey refuges
作者：Xie, Yingkang ;Lu, Junwei ;Wang, Zhen
作者机构：[Xie, Yingkang ;Wang, Zhen ] College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao; 266590, China;[Lu, Ju 更多
来源：Physica A: Statistical Mechanics and its Applications
摘要：In this paper, a fractional-order diffused prey–predator model with prey refuges is considered. The existence, uniqueness, non-negativity and boundedness of the solutions for the model are proved. Moreover, some sufficient conditions are given to ensure the existence and uniform asymptotic stability of the equilibrium point of the studied system. Finally, numerical simulations are presented in order to support the theoretical results.
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