Dispersal permanence of periodic predator–prey model with Ivlev-type functional response and impulsive effects |
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| Authors: | Hailing Wang |
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| Institution: | Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China; Institute of Applied Mathematics, Chongqing University of Posts and Telecommunications, Chongqing 400065, China |
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| Abstract: | In this paper, we study the permanence of a periodic Ivlev-type predator–prey system where the prey disperses in patchy environment with two patches. We assume the Ivlev-type functional response within-patch dynamics and provide a sufficient condition to guarantee the predator and prey species to be permanent. Furthermore, we give numerical analysis to confirm our theoretical results. It will be useful to ecosystem control. |
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| Keywords: | Dynamic system Predator&ndash prey model Ivlev-type functional response Impulsive perturbation Coincidence degree Periodic solution |
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