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

被引：59

作者：

Djilali, Salih ^{[1
,2
]}

Bentout, Soufiane ^{[2
,3
]}

机构：

[1] Hassiba Benbouali Univ, Fac Exact & Comp Sci, Math Dept, Chlef, Algeria

[2] Tlemcen Univ, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria

[3] Ctr Belhadj Bouchaib, Dept Math & Informat, BP 284 RP, Ain Temouchent 46000, Algeria

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 169卷 / 01期

关键词：

Predator-prey model; Social behavior; Hopf bifurcation; Local stability; Self-diffusion; TURING-HOPF BIFURCATION; POSITIVE STEADY-STATES; CROSS-DIFFUSION; HERD BEHAVIOR; SYSTEM; DYNAMICS; SHAPE;

D O I：

10.1007/s10440-019-00291-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：125 / 143

页数：19

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