Spatial dynamics of nonlinear prey-predator models with prey migration and predator switching

被引：19

作者：

Bhattacharyya, R. ^{[1
]}

Mukhopadhyay, B. ^{[1
]}

机构：

[1] Univ Calcutta, Dept Appl Math, Kolkata 700009, W Bengal, India

来源：

ECOLOGICAL COMPLEXITY | 2006年 / 3卷 / 02期

关键词：

switching; migration; group defence; Hopf-bifurcation; diffusion-driven instability;

D O I：

10.1016/j.ecocom.2006.01.001

中图分类号：

Q14 [生态学（生物生态学）];

学科分类号：

071012 ; 0713 ;

摘要：

The present paper deals with two prey-predator models, one with prey group defence and the other without it. The prey species is assumed to live in two distinct habitats and the predator species has the tendency of switching between the habitats. The models analyzed regarding stability and bifurcation aspects for the cases where the switching an index has the values n = 1 and 2. To model prey dispersal between the habitats, a spatial extension of both the models are considered using physical diffusion of the concerned species. Criteria for diffusion-driven instability are derived and interpreted ecologically. A comparative study of the spatial models are carried out. Numerical simulations are carried out to support analytical findings. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：160 / 169

页数：10

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