| 具有反应扩散的Leslie两种群生物竞争模型的稳定性 |
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| 引用本文： | 赵延忠.具有反应扩散的Leslie两种群生物竞争模型的稳定性[J].青海大学学报,2007,25(5):62-65. |
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| 作者姓名： | 赵延忠 |
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| 作者单位： | 青海大学基础部,青海西宁810016 |
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| 摘 要： | 研究了一类具有齐次Neumann边界条件下的两物种反应项的捕食者-食饵扩散模型解的整体性。通过线性化方法和Lyapunov泛函方法分别证明了该模型正平衡点的局部渐近稳定性和全局渐近稳定性。
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| 关 键 词： | 反应扩散 生物竞争 稳定性 |
| 文章编号： | 1006-8996（2007）05-0062-04 |
| 修稿时间： | 2007-05-20 |
Stability of two species biological competition Leslie model with reactive diffusion |
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| ZHAO Yan-zhong.Stability of two species biological competition Leslie model with reactive diffusion[J].Journal of Qinghai University(Natural Science),2007,25(5):62-65. |
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| Authors: | ZHAO Yan-zhong |
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| Institution: | The Basic Science Department of Qinghai University,Xining 810016, China |
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| Abstract: | The integral of diffusive model solution on two species, the prey with reaction item and the lure eatting, under the homogeneous Neumann boundary condition is studied in this paper and the local asympotic stability and global asympotic stability of the model at the positive equilibrium point are proved by linearization method and Lyapunov functional method. |
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| Keywords: | reaction diffusion biological competition stability |
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