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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||Handle Link:||https://hdl.handle.net/1959.11/3857||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||Statistics to Oct 2018:||Visitors: 121
|Appears in Collections:||Journal Article|
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