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食饵具有阶段结构的捕食者-食饵扩散模型的研究 被引量：1

Study on Diffusion Model of Predator-prey Characterized as Prey with Stage-structure
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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.
作者 张瑛瑛 张睿
机构地区 兰州交通大学数学与软件工程学院
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)
关键词 捕食者-食饵 阶段结构 稳定性 Predator-prey Stage-structure Stability
分类号 O175.26 [理学—基础数学]
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参考文献7

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二级参考文献22

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温州大学学报（自然科学版）
2011年 第3期

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