关键词: 捕食模型, Holling-Ⅱ型功能反应函数, 饥饿驱动扩散, 共存域

Abstract: We considered the effect of starvation-driven diffusion on the coexistence of a Holling-Ⅱ type predator-prey model under homogeneous Neumann boundary conditions. The eigenvalue theory was used to analyze the stability of semi-trivial solution under uniform diffusion and starvation-driven diffusion. By comparing the stability changes of semi-trivial solutions under two kinds of diffusion, we find that starvation-driven diffusion is conducive to the coexistence of species.

Key words: predator-prey model, Holling-Ⅱ functional response function, starvation-driven diffusion, coexistence region