三种群互惠模型抛物系统解的整体存在与爆破

Global Existence and Blowup of Solutions to a Parabolic System in Three-Species Cooperating Model

研究了三种群互惠模型的抛物系统,用上下解方法研究解的整体存在性与爆破问题,并给出了相应的条件.结果表明当种群自身的竞争强时解整体存在,反之则有可能爆破.

A parabolic system describing three populations in cooperating model is studied, the global existence and blowup results of solution are given by upper and lower solutions. It is shown that global solution exists if the intra-specific competitions are strong, whereas blowup solution may exist if the intra-specific competitions are weak.