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捕获对小容量污染环境中一类广义Logistic种群的影响
引用本文:程亚焕,王维涛.捕获对小容量污染环境中一类广义Logistic种群的影响[J].通化师范学院学报,2010,31(2):1-2,33.
作者姓名:程亚焕  王维涛
作者单位:通化师范学院,数学系,吉林,通化,134002
基金项目:吉林省教育厅自然科学基金重点项目 
摘    要:采用比较原理和微分不等式等方法,研究了一类广义Loglstlc种群的生存状况.在污染环境容量较小且捕获量是关于种群数量的线性函数条件下,给出种群弱持续生存、绝灭、β-持续生存和β-绝灭的充分条件.

关 键 词:广义Loostic种群  污染  捕获  生存  绝灭

Effect of Capture to a Kind of General Logistic Populationin a Small Polluted Environment
CHENG Ya-huan,WANG Wei-tao.Effect of Capture to a Kind of General Logistic Populationin a Small Polluted Environment[J].Journal of Tonghua Teachers College,2010,31(2):1-2,33.
Authors:CHENG Ya-huan  WANG Wei-tao
Institution:CHENG Ya-huan,WANG Wei-tao(Department of Mathematics,Tonghua Normal University,Tonghua,Jilin 134002,China)
Abstract:This paper studies the existence of a kind of general Logistic population by comparison principle and differential inequality. It gives the sufficient conditions for weak persistence, extinction, β- persistence and β - extinction of the population under the conditions that the polluted environment is smaller and the cap ture is a linear function for population.
Keywords:general Logistic population  pollution  capture  persistence  extinction  
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