具有HollingⅢ类功能反应的捕食者—食饵扩散模型的稳定性  

Stability of a diffusive predator-prey model with HollingⅢtype functional response

作　　者：郭凌[1] 伏升茂[1] 

机构地区：[1]西北师范大学数学与信息科学学院,甘肃兰州730070

出　　处：《兰州大学学报（自然科学版）》2008年第2期107-110,共4页Journal of Lanzhou University(Natural Sciences)

基　　金：国家自然科学基金(10471157);甘肃省自然科学基金(3ZS061-A25-015);甘肃省教育厅科研项目(0601-21);西北师范大学创新工程项目(NWNU-KJCXGC-03-39)资助

摘　　要：讨论了一类捕食者无密度制约,食饵具有非线性密度制约的HollingⅢ类功能反应的捕食者—食饵扩散模型解的整体性态.应用线性化方法和Lyapunov泛函方法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.The global behavior of solutions for a predator-prey diffusive model with Holling Ⅲ type functional response was considered, where the density of the prey was nonlinearly restricted and the density of the predator was restricted. The local asymptotic stability and the global asymptotic stability of the positive equilibrium point were given by linearization and Lyapunov function respectively.

关 键 词：非线性密度制约 HollingⅢ类功能反应 捕食者-食饵模型 稳定性 

分 类 号：O175.26[理学—数学]