非自治的具有阶段结构和时滞的捕食系统的动力学行为(英文)  

DYNAMICS OF A NON-AUTONOMOUS PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND DELAYS

作　　者：梁桂珍[1] 李坤[2] 

机构地区：[1]河南新乡学院数学系,河南新乡453003 [2]河南机电高等专科学校基础部,河南新乡453002

出　　处：《数学杂志》2011年第3期415-422,共8页Journal of Mathematics

基　　金：Supported by the NSF of Education Hall of Henan(2009C110005)

摘　　要：本文研究了一个非自治的具有阶段结构和时滞的捕食–食饵模型.利用比较原理获得了系统持久性的条件,在假设系统为周期系统的条件下通过构造Liapunov函数证明了正周期解的存在唯一性和全局渐近稳定性.A non-autonomous predator-prey model with digest delay and stage structure is considered in this article.The conditions of permanence of it are gotten by comparative principle.Furthermore,existence uniqueness and asymptotically stability of positive periodic solution have been proved under some assumptions if this model turns out to be a periodic system through constructing a Liapunov function.

关 键 词：持久性 阶段结构 渐近稳定性 时滞 周期解 LIAPUNOV函数 

分 类 号：O175.12[理学—数学]