STABILITY AND BIFURCATION IN A SINGLE SPECIES WITH NONLINEAR BOUNDARY CONDITIONS

被引：8

作者：

Guo, Shangjiang ^{[1
]}

机构：

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

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 05期

关键词：

  Reaction-diffusion; Allee effect; bifurcation nonlinear boundary condition; DIFFUSIVE LOGISTIC EQUATIONS; POSITIVE SOLUTIONS;

D O I：

10.1090/proc/16274

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A single-species model subject to nonlinear boundary conditions is investigated. Existence, nonexistence, and local/global asymptotical sta-bility of positive steady-state solutions are shown to identify the ranges of parameters, the growth rate functions, and boundary reaction functions. In particular, we show that the model can have multiple equilibria and in some parameter ranges can support Allee effects.

引用

页码：2057 / 2071

页数：15

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