A predator-prey reaction-diffusion system with nonlocal effects

被引：89

作者：

Gourley, SA ^{[1
]}

Britton, NF ^{[1
]}

机构：

[1] UNIV BATH,SCH MATH SCI,BATH BA2 7AY,AVON,ENGLAND

来源：

JOURNAL OF MATHEMATICAL BIOLOGY | 1996年 / 34卷 / 03期

关键词：

predator-prey; reaction-diffusion; time delay; bifurcation; pattern formation;

D O I：

10.1007/BF00160498

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We consider a predator-prey system in the form of a coupled system of reaction-diffusion equations with an integral term representing a weighted average of the values of the prey density function, both in past time and space. In a limiting case the system reduces to the Lotka Volterra diffusion system with logistic growth of the prey. We investigate the linear stability of the coexistence steady state and bifurcations occurring from it, and expressions for some of the bifurcating solutions are constructed. None of these bifurcations can occur in the degenerate case when the nonlocal term is in fact local.

引用

页码：297 / 333

页数：37

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