Stability analysis of a stage-structure model with spatial heterogeneity

被引：5

作者：

Yan, Shuling ^{[1
]}

Guo, Shangjiang ^{[2
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

[2] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Hubei, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 14期

基金：

中国国家自然科学基金;

关键词：

Lotka‐ Volterra competition; spatial heterogeneity; stability; stage structure;

D O I：

10.1002/mma.7464

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stage-structure competition-diffusion model with spatial heterogeneity is investigated in this paper. Under some suitable assumptions, the existence of spatially non-homogeneous steady-state solutions is established by investigating eigenvalue problems with indefinite weight and employing Lyapunov-Schmidt reduction. The stability of spatially nonhomogeneous steady-state solutions is obtained by analyzing the set of the spectrum of the associated infinitesimal generator. In particular, the global stability of the steady-state solutions is described in weak competition case.

引用

页码：10993 / 11005

页数：13

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