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Periodic solutions of a three-species periodic reaction-diffusion system

Tiantian QiaoJiebao SunBoying Wu — 2011

Annales Polonici Mathematici

We study a periodic reaction-diffusion system of a competitive model with Dirichlet boundary conditions. By the method of upper and lower solutions and an argument similar to that of Ahmad and Lazer, we establish the existence of periodic solutions and also investigate the stability and global attractivity of positive periodic solutions under certain conditions.

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