| 带扩散的具性别结构的捕食模型分析 |
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| 引用本文： | 刘佳,周桦.带扩散的具性别结构的捕食模型分析[J].扬州大学学报(自然科学版),2006,9(4):12-16. |
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| 作者姓名： | 刘佳 周桦 |
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| 作者单位： | 1. 江苏工业学院,信息科学系,江苏,常州,213016;扬州大学,数学科学学院,江苏,扬州,225002
2. 江苏工业学院,信息科学系,江苏,常州,213016 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目(05KJB110154)，江苏省自然科学基金资助项目(BK2006064) |
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| 摘 要： | 建立了带扩散的并且食饵种群具有性别结构的捕食模型,应用特征子空间分解与线性化方法得到了弱耦合的偏微分方程组平衡点局部稳定性的充分条件,进一步利用上、下解方法和构造适当的Lyapunov泛函的方法分析平衡点的全局稳定性,得到了边界平衡点和正平衡点全局稳定的充分条件.
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| 关 键 词： | 性别结构 捕食模型 渐近稳定 反应扩散系统 |
| 文章编号： | 1007-824X（2006）04-0012-05 |
| 收稿时间： | 2006-04-24 |
| 修稿时间： | 2006-04-24 |
Analysis of a diffusive predator-prey model with sex-structure |
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| LIU Jia,ZHOU Hua.Analysis of a diffusive predator-prey model with sex-structure[J].Journal of Yangzhou University(Natural Science Edition),2006,9(4):12-16. |
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| Authors: | LIU Jia ZHOU Hua |
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| Institution: | 1. Dept of Inf Sci, Jiangsu Poly Univ, Changzhou 213016, China; 2. CoU of Math, Yangzhou Univ, Yangzhou 225002, China |
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| Abstract: | In this paper,a diffusive predator-prey model with sex-structure is formulated.The sufficient condition of local asymptotic stability of the equilibria of weakly coupled partial differential equations is obtained by using the characteristic decomposition and linearization method.Moreover,the global asymptotic stability of the equilibria is established by using upper and lower solution method and by constructing a suitable Lyapunov function.And the sufficient condition of global stability of the boundary equilibrium and the positive equilibrium is obtained. |
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| Keywords: | sex-structure predator-prey model asymptotical stable reaction-diffusion systems |
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