一类强耦合互惠模型的共存解

Coexistence of a Strongly Coupled System Describing a Mutualistic Model

研究了两种群互惠模型。利用耦合上下解及相应的单调序列方法研究了带Direchlet边界条件互惠模型强耦合问题共存解,结果说明,当交错扩散和种间作用相对弱时,强耦合问题就至少存在一个解。

In this paper,the cooperating two-species Lotka-Vorterra model is discussed. The authors study the existence of solutions to a strongly coupled elliptic system with homogeneous of Dirchlet boundary conditions by the method of coupled upper and lower solutions and its associated monotone iterations. Their results shows that this model admits at least one coexistence state if cross-diffusions are weak.