Diffusive logistic equation with non-linear boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:375

Article

Goddard, Jerome, II¹  Shivaji, R.¹  Lee, Eun Young² 

[1] Mississippi State Univ, Dept Math & Stat, Ctr Computat Sci, Mississippi State, MS 39762 USA

[2] Pusan Natl Univ, Dept Math, Pusan 609735, South Korea

关键词: Diffusive logistic equation;    Non-linear boundary conditions;    Sub-super solutions;   

DOI  :  10.1016/j.jmaa.2010.09.057

来源: Elsevier

【 摘 要 】

We analyze the solutions of a population model with diffusion and logistic growth. In particular, we focus our study on a population living in a patch. Omega subset of R-n with n >= 1, that satisfies a certain non-linear boundary condition and on its survival when constant yield harvesting is introduced. We establish our existence results by the method of sub-super solutions. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free