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污染环境中Gompertz食饵一捕食者系统的全局吸引性
引用本文:薛炜.污染环境中Gompertz食饵一捕食者系统的全局吸引性[J].甘肃科学学报,2013(4):12-15.
作者姓名:薛炜
作者单位:[1]兰州理工大学理学院,甘肃兰州730050 [2]甘肃建筑职业技术学院,甘肃兰州730050
基金项目:基金项目:甘肃省自然科学基金项目(1107RJZA164)
摘    要:主要研究污染环境中Gompertz食饵~捕食者模型的动力学行为.利用比较原理分析了毒素脉冲投放对食饵和捕食者种群的影响.得到了保证该系统捕食者灭绝周期解全局吸引的充分条件.证明模型与实际情况更为接近.

关 键 词:Gompertz模型  脉冲  污染环境  灭绝

Global Attractability of Gompertz Prey-Predator System in Polluted Environment
XUE Wei.Global Attractability of Gompertz Prey-Predator System in Polluted Environment[J].Journal of Gansu Sciences,2013(4):12-15.
Authors:XUE Wei
Affiliation:XUE Wei( 1. School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China 2. Gansu Construction Vocational Technical College ,Lanzhou 730050 ,China)
Abstract:In this pager,we researched dynamic behaviors of Gomportz prey-predator system in polluted environment. By using comparison theorems,we analyzed the effect of impulsive toxicant input on the sys- tem, found the model was closer to the actual situation, and obtained the sufficient conditions for the global attractability of the predator extinction periodic solution of the system.
Keywords:Gompertz model  impulses  polluted environment  extinction
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