| 一类具有扩散的捕食模型的共存解 |
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| 引用本文： | 李波,王鲁欣.一类具有扩散的捕食模型的共存解[J].数学物理学报(A辑),2010,30(1):217-226. |
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| 作者姓名： | 李波 王鲁欣 |
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| 作者单位： | 李波(徐州师范大学数学科学学院,江苏徐州,221116);王鲁欣(南通航运职业技术学院基础部,江苏南通,226010) |
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| 摘 要： | 该文讨论了具有扩散的捕食模型.利用上下解方法和分支理论,得到了椭圆系统的共存解的存在性,并且讨论了共存解的稳定性.
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| 关 键 词： | 捕食模型 共存解 分支 主特征值 |
| 收稿时间： | 2008-09-06 |
| 修稿时间： | 2009-10-09 |
Coexistence States of a Prey-predator Model with Diffusion |
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| LI Bo,WANG Lu-Xin.Coexistence States of a Prey-predator Model with Diffusion[J].Acta Mathematica Scientia,2010,30(1):217-226. |
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| Authors: | LI Bo WANG Lu-Xin |
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| Institution: | School of Mathematical Science, Xuzhou Normal University, Jiangsu Xuzhou 221116 |
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| Abstract: | This paper deals with a prey-predator model with diffusion.The coexistence states of the elliptic system are given by using upper and lower solutions method and bifurcation theory.And the stability of coexistence states is also considered. |
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| Keywords: | Prey-predator model Coexistence states Bifurcation Principal eigenvalue |
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