Spatiotemporal Patterns in a Diffusive Predator-Prey Model with Prey Social Behavior

被引：0
|
作者：
Salih Djilali
Soufiane Bentout
机构：
[1] Hassiba Benbouali University,Faculty of Exact and Computer Sciences, Mathematic Department
[2] Center of Belhadj Bouchaib,Department of Mathematics and Informatics
[3] Tlemcen University,Laboratoire d’Analyse Non Linéaire et Mathématiques Appliquées
来源：
Acta Applicandae Mathematicae | 2020年 / 169卷
关键词：
Predator-prey model; Social behavior; Hopf bifurcation; Local stability; Self-diffusion;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Our aim in this paper is to investigate the behavior of pattern formation for a predator-prey model with social behavior and spatial diffusion. Firstly, we give some solution behavior where the non-existence of a non-constant steady state solution has been proved for some values of the diffusion coefficients. On the other hand, by using the Leray-Schauder degree theory the existence of the non-constant steady-state solution has been proved under a suitable conditions on the diffusion coefficients.
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页码：125 / 143
页数：18
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