Global Existence and Blowup for Free Boundary Problems of Coupled Reaction-diffusion Systems
نویسندگان
چکیده
This article concerns a free boundary problem for a reactiondiffusion system modeling the cooperative interaction of two diffusion biological species in one space dimension. First we show the existence and uniqueness of a local classical solution, then we study the asymptotic behavior of the free boundary problem. Our results show that the free boundary problem admits a global solution if the inter-specific competitions are strong, while, if the interspecific competitions are weak, there exist the blowup solution and a global fast solution.
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