The effect of dispersal on permanence in a predator-prey population growth model

被引：30
作者：
Cui, JA [1 ]
机构：
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2002年 / 44卷 / 8-9期
关键词：
predator-prey system; dispersal; permanence; extinction; stability;
D O I：
10.1016/S0898-1221(02)00217-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, 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 a Volterra within-patch dynamic. Under the assumption that the average of 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 in [1]. (C) 2002 Elsevier Science Ltd. All rights reserved.
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收藏
页码：1085 / 1097
页数：13
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