Stability analysis of a stage structure model with spatiotemporal delay effect

被引：9

作者：

Yan, Shuling ^{[1
]}

Guo, Shangjiang ^{[1
]}

机构：

[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 02期

基金：

国家教育部博士点专项基金资助;

关键词：

Stage structure model; Spatiotemporal delay; Lyapunov-Schmidt reduction; Dirichlet boundary condition; POPULATION-MODEL; HOPF-BIFURCATION; DIFFUSION; DYNAMICS; GROWTH; SYSTEM;

D O I：

10.1016/j.camwa.2016.11.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a stage structure model with spatiotemporal delay and homogeneous Dirichlet boundary condition. The existence of steady state solution bifurcating from the trivial equilibrium is obtained by using Lyapunov-Schmidt reduction. The stability analysis of the positive spatially nonhomogeneous steady state solution is investigated by a detailed analysis of the characteristic equation. Using the properties of the omega limit set, we obtain the global convergence of the solution with finite delay. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：310 / 326

页数：17

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