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Global existence and blow-up analysis to a cooperating model with self-diffusion

Global existence and blow-up analysis to a cooperating model with self-diffusion

Abstract In this paper, a two-species cooperating model with free diffusion and self-diffusion is investigated. The existence of the global solution is first proved by using lower and upper solution method. Then the sufficient conditions are given for the solution to blow up in a finite time. Our results show …