Permanence for a class of periodic time-dependent predator–prey system with dispersal in a patchy-environment |
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| Institution: | 1. College of Science, China University of Petroleum (East China), Qingdao 266580, Shandong, China;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 121589, Saudi Arabia;3. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;1. Key Laboratory of Eco-environments in Three Gorges Reservoir Region(Ministry of Education), School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;2. Shanxi Key Laboratory of Mathematical Techniques and Big Date Analysis on Disease Control and Prevention, Complex System Research Center, Shanxi University, Taiyuan 030006, China |
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| Abstract: | In this paper, we study two species predator–prey Lotka–Volterra type dispersal system with periodic coefficients in two patches, in which both the prey and predator species can disperse between two patches. By utilizing analytic method, sufficient and realistic conditions on permanence and the existence of periodic solution are established. The theoretical results are confirmed by a special example and numerical simulations. |
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