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Permanence and extinction for dispersal population systems |
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| Authors: | Jing'an Cui Yasuhiro Takeuchi Zhenshan Lin |
| Affiliation: | a Department of Mathematics, Nanjing Normal University, Nanjing 210097, PR China b Department of Systems Engineering, Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561, Japan c School of Geographical Science, Nanjing Normal University, Nanjing 210097, PR China |
| Abstract: | This paper studies the effect of dispersal on the permanence of population models in poor patchy environment. We first consider the logistic system with dispersal for single species and obtain the conditions for its permanence. On the basis of the conditions, we then consider a periodic predator-prey system where the prey can disperse among several patches. A necessary and sufficient condition is obtained for the permanence of the periodic predator-prey system. We discuss the biological implications of the main results. |
| Keywords: | Dispersal Predator-prey system Permanence Periodic solution |
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