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脉冲污染环境中食饵被捕杀的Gompertz模型的持续性
引用本文:许玲,刘兵,康宝林.脉冲污染环境中食饵被捕杀的Gompertz模型的持续性[J].鞍山师范学院学报,2010,12(4):5-8.
作者姓名:许玲  刘兵  康宝林
作者单位:1. 辽宁师范大学,数学学院,辽宁,大连,116029
2. 鞍山师范学院,数学系,辽宁,鞍山,114007
摘    要:建立了一类污染环境中在不同固定时刻分别排放污染物和捕杀食饵的捕食食饵Gompertz模型,给出了捕食者灭绝周期解的全局吸引性和该系统持续生存的充分条件.

关 键 词:环境污染  毒素脉冲输入  捕食食饵Gompertz模型  持续生存

Persistence of Predator-prey Gompertz Systems in a Polluted Environment with Impulsive Effect
XU Ling,LIU Bing,KANG Bao-ling.Persistence of Predator-prey Gompertz Systems in a Polluted Environment with Impulsive Effect[J].Journal of Anshan Teachers College,2010,12(4):5-8.
Authors:XU Ling  LIU Bing  KANG Bao-ling
Institution:XU Ling1,LIU Bing2,KANG Bao-ling1(1.Department of Mathematics,Liaoning Normal University,Dalian Liaoning 116029,China,2.Department of Mathematics,Anshan Normal University,Anshan Liaoning 114007,China)
Abstract:We formulate a predator-prey Gompertz model in a polluted environment with pulse toxin input and prey killed at different fixed time.We obtain the condition for permanence of the population.
Keywords:Environmental pollution  Impulsive toxin input  Predator-prey model  Permanence  
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