Asymptotic behavior of solutions of a periodic diffusion system of plankton allelopathy |
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Authors: | Canrong Tian Zhigui Lin |
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Affiliation: | 1. Basic Department, Yancheng Institute of Technology, Yancheng 224003, China;2. School of Mathematical Science, Yangzhou University,Yangzhou 225002, China |
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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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