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Zbl 1032.92032
Cui, Jingan
The effect of dispersal on permanence in a predator-prey population growth model. (English)
[J] Comput. Math. Appl. 44, No.8-9, 1085-1097 (2002). ISSN 0898-1221

Summary: We consider a periodic predator-prey system where the prey can disperse between one patch with a low level of food and without predation and one patch with a higher level of food but with predation. We assume Volterra within-patch dynamics. Under the assumption that the average of the dispersal rate from Patch 1 to Patch 2 is less than that of the intrinsic growth rate of prey in Patch 1, we provide a sufficient and necessary condition to guarantee the prey and predator species to be permanent by using the main techniques of {\it Z. Teng}, Appl. Anal. 72, 339-352 (1999; Zbl 1031.34045).

MSC 2000:: *92D40 Ecology
34C60 Applications of qualitative theory of ODE
34C25 Periodic solutions of ODE
34D05 Asymptotic stability of ODE
37N25 Dynamical systems in biology

Keywords: Predator-prey system; Dispersal; Permanence; Extinction; Stability

Citations: Zbl 1031.34038; Zbl 1031.34045

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