带扩散的具有HollingⅢ类功能性反应的捕食模型的性质  

Analysis on Holling type Ⅲ predator-prey with diffusion model quality

作　　者：周桦[1] 刘佳[1] 

机构地区：[1]江苏工业学院信息科学系,江苏常州213164

出　　处：《南京工业大学学报（自然科学版）》2007年第5期66-69,共4页Journal of Nanjing Tech University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10671172);江苏省教育厅自然科学基金资助项目(BK2006064)

摘　　要：建立了带扩散的具有HollingⅢ类功能性反应的捕食模型,讨论了模型的一致持久性,应用特征子空间分解与线性化的方法得到了模型正平衡点局部稳定性的充分条件,进一步通过构造适当的Lyapunov泛函的方法得到了正平衡点全局稳定性的充分条件.A Holling type Ⅲ predator-prey with diffusion system subject to the homogeneous Neumann boundary condition was studied. Results show that the system is uniformly persistent under some appropriate conditions. The sufficient condition of local asymptotic stability of the system positive equilibrium was obtained by applying the characteristic subspace decomposition and linearization method. Further, the sufficient condition of global asymptotic stability of the system positive equilibrium was obtained by establishing a suitable Lyapunov functionelle.

关 键 词：全局稳定 捕食模型 持久性 HOLLING Ⅲ类 

分 类 号：O175.26[理学—数学]