带扩散的具性别结构的捕食模型分析  

Analysis of a diffusive predator-prey model with sex-structure

作　　者：刘佳[1] 周桦[1] 

机构地区：[1]江苏工业学院信息科学系

出　　处：《扬州大学学报（自然科学版）》2006年第4期12-16,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：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)

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.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 lineari＇zation 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.

关 键 词：性别结构 捕食模型 渐近稳定 反应扩散系统 

分 类 号：O175.26[理学—数学]