具有变时滞阶段结构捕食系统的全局吸引性  

Global attractivity of stage structured predator-prey system with varying delay

作　　者：伍代勇[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133

出　　处：《计算机工程与应用》2014年第24期50-53,共4页Computer Engineering and Applications

基　　金：安徽省高等学校省级自然科学基金项目(No.KJ2013Z186;No.KJ2011A197)

摘　　要：研究了一类具有变时滞相互干扰阶段结构捕食系统。利用微分不等式比较原理和迭代法得到了系统平衡态全局吸引的充分条件,通过举例并进行数值模拟验证了结论的可行性。This paper studies a mutual interference stage structured predator-prey system with varying delay. By using the comparison principle of differential inequations and an iteration scheme, a set of sufficient conditions are obtained for the global attractivity of a unique positive equilibrium of the system. An example with its numerical simulations shows the feasibility of the main results.

关 键 词：阶段结构 相互干扰 全局吸引性 捕食-被捕食 变时滞 

分 类 号：O175.1[理学—数学] O242.1[理学—基础数学]