Article ID Journal Published Year Pages File Type
838607 Nonlinear Analysis: Real World Applications 2010 8 Pages PDF
Abstract

This paper is concerned with the existence and asymptotic behavior of periodic solutions for a periodic reaction diffusion system of a planktonic competition model under Dirichlet boundary conditions. The approach to the problem is by the method of upper and lower solutions and the bootstrap argument of Ahmad and Lazer. It is shown under certain conditions that this system has positive or semi-positive periodic solutions. A sufficient condition is obtained to ensure the stability and global attractivity of positive periodic solutions.

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Physical Sciences and Engineering Engineering Engineering (General)
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