Existence and stability of global solutions for a cross-diffusion predator-prey model with sex-structure

被引：4

作者：

Xu, Hongwu ^{[1
]}

Xu, Shenghu ^{[1
,2
]}

机构：

[1] Longdong Univ, Sch Math & Stat, Qingyang 745000, Gansu, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Cross-diffusion; Classical solutions; Sex-structure; Stability; KAWASAKI-TERAMOTO MODEL; STAGE STRUCTURE;

D O I：

10.1016/j.nonrwa.2010.08.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the energy estimates and the bootstrap arguments, this thesis investigates the global existence of solutions for a cross-diffusion predator-prey model with sex-structure when the space dimension is less than ten. Furthermore, by constructing a Lyapunov function, the sufficient condition of global asymptotic stability of the positive equilibrium point for the model is given. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：999 / 1009

页数：11

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