Stability and bifurcation in a diffusive prey-predator system: Non-linear bifurcation analysis

被引：0
|
作者：
Bhattacharya R. [1 ]
Bandyopadhyay M. [1 ]
Banerjee S. [1 ]
机构：
[1] Department of Applied Mathematics, University of Calcutta, Kolkata 700009, 92, A.P.C. Road
来源：
Journal of Applied Mathematics and Computing | 2002年 / 10卷 / 1-2期
关键词：
Bifurcation; Bifurcation analysis; Critical point; Diffusive instability; Dissipative structure; Reaction diffusion;
D O I：
10.1007/BF02936202
中图分类号：
学科分类号：
摘要：
A stability analysis of a non-linear prey-predator system under the influence of one dimensional diffusion has been investigated to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern arising out of the bifurcation of the state of the system.
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页码：17 / 26
页数：9
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