首页 | 本学科首页   官方微博 | 高级检索  
     检索      

非自治的具有阶段结构和时滞的捕食系统的动力学行为
引用本文:梁桂珍,李坤.非自治的具有阶段结构和时滞的捕食系统的动力学行为[J].数学杂志,2011,31(3).
作者姓名:梁桂珍  李坤
作者单位: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
基金项目: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.

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

DYNAMICS OF A NON-AUTONOMOUS PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND DELAYS
LIANG Gui-zhen,LI Kun.DYNAMICS OF A NON-AUTONOMOUS PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND DELAYS[J].Journal of Mathematics,2011,31(3).
Authors:LIANG Gui-zhen  LI Kun
Institution:LIANG Gui-zhen1,LI Kun2(1.Department of Mathematics,Xinxiang University,Xinxiang 453003,China)(2.Department of Basic Course,Henan Mechanical and Electrical Engineering College,Xinxiang 453002,China)
Abstract: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.
Keywords:permanence  stage structure  asymptotically stability  delay  periodic solution  Liapunov functional
本文献已被 CNKI 万方数据 等数据库收录!
点击此处可从《数学杂志》浏览原始摘要信息
点击此处可从《数学杂志》下载免费的PDF全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号