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A COMPETITIVE AND PREY-PREDATOR MODEL WITH STAGE-STRUCTURE

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【作者】 罗桂烈； 刘丙辰； 李锋杰；

【Author】 Luo Guiliel (Math, and Computer Science College, Guangxi Normal University, Guilin 541004)Liu Bingchenl Li Fengjie(Dept. of Applied Math., Dalian University of Technology, Dalian 116024)

【机构】 Math. and Computer Science College； Guangzi Normal University； Guilin 541004； Dept. of Applied Math.； Dalian University of Technology； Dalian 116024； Dalian 116024；

【摘要】 <正> The uniform persistence is proved for a non-autonomous competitive and prey-predator model with ratio-dependent functional response and stage-structure. By constructing a Liapunov functional, we establish the conditions of existence and uniqueness for the positive periodic solution, which is globally asymptotically stable. We get a unique almost periodic solution for an almost periodic system as well under corresponding conditions .by means of the Razumikhin function method.

【Abstract】 The uniform persistence is proved for a non-autonomous competitive and prey-predator model with ratio-dependent functional response and stage-structure. By constructing a Liapunov functional, we establish the conditions of existence and uniqueness for the positive periodic solution, which is globally asymptotically stable. We get a unique almost periodic solution for an almost periodic system as well under corresponding conditions .by means of the Razumikhin function method.

【关键词】 time-delay； Liapunov functional； Razumikhin function；
【Key words】 time-delay； Liapunov functional； Razumikhin function；
  • 【文献出处】 Annals of Differential Equations ,微分方程年刊(英文版) , 编辑部邮箱 ,2004年01期
  • 【分类号】O29
  • 【被引频次】2
  • 【下载频次】34
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