Permanence of a single-species dispersal system and predator survival

被引：16

作者：

Cui, J

Takeuchi, Y ^{[1
]}

机构：

[1] Shizuoka Univ, Fac Engn, Dept Syst Engn, Hamamatsu, Shizuoka 4328561, Japan

[2] Nanjing Normal Univ, Dept Math, Nanjing 210097, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 175卷 / 02期

关键词：

predator-prey system; dispersal; permanence; periodic solution;

D O I：

10.1016/j.cam.2004.06.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers permanence of a single-species dispersal periodic system with the possibility of the loss for the species during their dispersion among patches. The condition obtained for permanence generalizes the known condition on the system without loss for the species in the process of movement. Next, we add predators into every patch and consider the survival possibility of the predator. It is shown that the total amount of the predators can remain positive, if the single-species (prey) dispersal system has a positive periodic solution and the quantity of prey in each patch is enough for survival of the predator. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：375 / 394

页数：20

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