摘要
In this paper,the two-species prey-predator Lotka-Volterra model with the Holling's type Ⅲ is discussed.By the method of coupled upper and lower solutions and its associated monotone iterations,the existence of solutions for a strongly coupled elliptic system with homogeneous of Dirchlet boundary conditions is derived.These results show that this model admits at least one coexistence state if across-diffusions are weak.
In this paper, the two-species prey-predator Lotka-Volterra model with the Holling＇s type III is discussed. By the method of coupled upper and lower solutions and its associated monotone iterations, the existence of solutions for a strongly coupled elliptic system with homogeneous of Dirchlet boundary conditions is derived. These results show that this model admits at least one coexistence state if across-diffusions are weak.
基金
Supported by the National Natural Science Foundation of China(10576013
10871075)
