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Title: The degenerate logistic model and a singularly mixed boundary blow-up problem
Contributor(s): Du, Yihong  (author); Guo, Zongming (author)
Publication Date: 2006
DOI: 10.3934/dcds.2006.14.1
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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.
Publication Type: Journal Article
Source of Publication: Discrete and Continious Dynamical Systems, 14(1), p. 1-29
Publisher: American Institute of Mathematical Sciences
Place of Publication: United States
ISSN: 1553-5231
Field of Research (FOR): 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems
Socio-Economic Outcome Codes: 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
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