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

Title
The degenerate logistic model and a singularly mixed boundary blow-up problem
Publication Date
2006
Author(s)
Du, Yihong
( author )
OrcID: https://orcid.org/0000-0002-1235-0636
Email: ydu@une.edu.au
UNE Id une-id:ydu
Guo, Zongming
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
AIMS Press
Place of publication
United States of America
DOI
10.3934/dcds.2006.14.1
UNE publication id
une:3952
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.
Link
link
Citation
Discrete and Continuous Dynamical Systems. Series A, 14(1), p. 1-29
ISSN
1553-5231
1078-0947
Start page
1
End page
29

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