食饵具有阶段结构的捕食者-食饵扩散模型的研究  

Study on Diffusion Model of Predator-prey Characterized as Prey with Stage-structure

作　　者：张瑛瑛[1] 张睿[1] 

机构地区：[1]兰州交通大学数学与软件工程学院,甘肃兰州730070

出　　处：《温州大学学报（自然科学版）》2011年第3期1-5,共5页Journal of Wenzhou University(Natural Science Edition)

基　　金：国家自然科学基金项目(10901075);甘肃省教育厅科研项目(0804-08)

摘　　要：对食饵具有阶段结构的捕食者-食饵扩散模型进行研究,由线性化方法分析了该模型常微分系统非负平衡点的稳定性,并讨论了与之对应的反应扩散系统在齐次Neumann边界条件下的非负平衡点的稳定性,得到了两种群持续生存的条件.In this paper, a diffusion model of predator-prey featured as prey with stage-structure was studied. The stability of the nonnegative equilibrium for the ordinary differential system was analyzed by linearization And then stability of the nonnegative equilibrium for the corresponding reaction-diffusion system was studied under the homogeneous Neumann boundary conditions. Finally, the conditions for the permanence of predator and prey population were given.

关 键 词：捕食者-食饵 阶段结构 稳定性 

分 类 号：O175.26[理学—数学]