Diffusive logistic equation with non-linear boundary conditions

被引：13

作者：

Goddard, Jerome, II ^{[1
]}

Shivaji, R. ^{[1
]}

Lee, Eun Young ^{[2
]}

机构：

[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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 375卷 / 01期

关键词：

Diffusive logistic equation; Non-linear boundary conditions; Sub-super solutions; LINEAR ELLIPTIC-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2010.09.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：365 / 370

页数：6

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