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
收藏
页码：125 / 143
页数：19
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