Du, Yihong; Guo, Zongming

Author(s)

Du, Yihong

Guo, Zongming

Publication Date

2006

Abstract

We study the degenerate logistic model described by the equation ut-Δu=au-b(x)u^p with standard boundary conditions, where p>1, b vanishes on a nontrivial subset Ω₀ of the underlying bounded domain Ω⊂ℝ^N and b is positive on Ω₊... We consider the difficult case where ∂Ω₀⋂∂Ω≠... and ∂Ω₊⋂∂Ω≠... and examine the asymptotic behaviour of the solutions. By a detailed study of a singularly mixed boundary blow-up problem, we obtain some basic results on the dynamics of the model.

Citation

Discrete and Continuous Dynamical Systems. Series A, 14(1), p. 1-29

ISSN

1553-5231

1078-0947

Link

https://hdl.handle.net/1959.11/3857

Publisher

AIMS Press

Title

The degenerate logistic model and a singularly mixed boundary blow-up problem

Type of document

Journal Article

Entity Type

Publication

Author(s)	Du, Yihong Guo, Zongming
Publication Date	2006
Abstract	We study the degenerate logistic model described by the equation ut-Δu=au-b(x)u^p with standard boundary conditions, where p>1, b vanishes on a nontrivial subset Ω₀ of the underlying bounded domain Ω⊂ℝ^N and b is positive on Ω₊... We consider the difficult case where ∂Ω₀⋂∂Ω≠... and ∂Ω₊⋂∂Ω≠... and examine the asymptotic behaviour of the solutions. By a detailed study of a singularly mixed boundary blow-up problem, we obtain some basic results on the dynamics of the model.
Citation	Discrete and Continuous Dynamical Systems. Series A, 14(1), p. 1-29
ISSN	1553-5231 1078-0947
Link	https://hdl.handle.net/1959.11/3857
Publisher	AIMS Press
Title	The degenerate logistic model and a singularly mixed boundary blow-up problem
Type of document	Journal Article
Entity Type	Publication

The degenerate logistic model and a singularly mixed boundary blow-up problem

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