| 食饵具有阶段结构的捕食者-食饵扩散模型的研究 |
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| 引用本文： | 张瑛瑛,张睿.食饵具有阶段结构的捕食者-食饵扩散模型的研究[J].温州大学学报(自然科学版),2011,32(3). |
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| 作者姓名： | 张瑛瑛 张睿 |
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| 作者单位： | 兰州交通大学数学与软件工程学院,甘肃兰州,730070 |
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| 基金项目： | 国家自然科学基金项目(10901075); 甘肃省教育厅科研项目(0804-08) |
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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.
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| 关 键 词： | 捕食者-食饵 阶段结构 稳定性 |
Study on Diffusion Model of Predator-prey Characterized as Prey with Stage-structure |
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| ZHANG Yingying,ZHANG Rui.Study on Diffusion Model of Predator-prey Characterized as Prey with Stage-structure[J].Journal of Wenzhou University Natural Science,2011,32(3). |
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| Authors: | ZHANG Yingying ZHANG Rui |
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| Institution: | ZHANG Yingying,ZHANG Rui(College of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou,China 730070) |
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| Abstract: | 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. |
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| Keywords: | Predator-prey Stage-structure Stability |
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