斑块环境下具有Holling-Ⅱ的捕食-食饵系统的稳定性  

Stability of predator-prey system with Holling-Ⅱ in patch-environment

作　　者：黄灿云[1] 丁红[1] 岳甲龙[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2009年第3期146-149,共4页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(3ZS062-B25-019)

摘　　要：研究两个斑块环境下的捕食-食饵模型,该模型是食饵具有阶段性结构及捕食者之间具有扩散的Holling-Ⅱ类功能性反应的结构.通过构造适当的Lyapunov函数,导出系统正平衡点全局稳定的充分条件.举例说明所得结果的正确性.A Holling-II predator-prey model in two patch-environment was studied, where the stage structure was with the prey and the dispersal was with the predator. Sufficient conditions for global asymptotic stability of the positive equilibrium were derived by constructing a suitable Lyapunov functional. An exampie was given to illustrate the efficiency of the result obtained.

关 键 词：阶段结构 全局稳定 LYAPUNOV函数 比较原理 

分 类 号：O175.14[理学—数学]