具有Holling-Ⅲ型功能反应的捕食者-食饵扩散模型中避难所的影响  

Effect of a Prey Refuge on a Predator-prey Model with Diffusion and Holling Type Ⅲ Response Function

作　　者：张丽娜[1] 鲁引儿 

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《应用数学》2017年第2期359-364,共6页Mathematica Applicata

基　　金：国家自然科学基金(11061031)

摘　　要：本文在齐次Neumann边界条件下考虑食饵具有避难所的捕食者-食饵扩散模型,其功能反应函数为Holling-III型.主要讨论该系统全局吸引子的存在性和系统永久持续生存性,以及避难所对系统非负平衡点稳定性的影响.In this paper, a predator-prey model with diffusion and Holling type III response function incorporating a prey refuge under homogeneous Neumann boundary condition is considered. The existence of a global attractor and permanence for this model are discussed. Moreover, the effect of the prey refuge on the stability properties of the non-negative equilibria is investigated.

关 键 词：捕食者-食饵模型 避难所 扩散 稳定性 HOPF分歧 

分 类 号：O175.26[理学—数学]