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.
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页码：10993 / 11005
页数：13
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