脉冲输入环境毒素的单种群动力学模型研究  

The Study on Single Population Model with Pulse Input of Environmental Toxin

作　　者：鲍磊[1] 班晓倩 

机构地区：[1]贵州财经大学数学与统计学院,贵州贵阳550004

出　　处：《江西师范大学学报（自然科学版）》2012年第5期502-505,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10961008);贵州省教育厅自然科学研究培育(2010027);贵州省科学技术基金(2010J2130)资助项目

摘　　要：利用已有的结果研究了脉冲输入环境毒素的单种群动力学模型,考虑毒素的侵扰,将内禀增长率改变为与生物体内毒素相关的非线性函数形式,得到了边界周期解的全局吸引和系统永久生存的判别条件.Based on the known results, a single population model in a polluted environment with pulse toxicant input at fixed moment is studied. Considering the harassment of toxin, the intrinsic rate of growth is changed into non-linear functional style related to the concentration of the toxin in the organisms. The threshold condition for the attractivity of the population-extinction boundary period solution and the permanence of the system are obtained.

关 键 词：单种群动力学模型 脉冲输入环境毒素 全局吸引 永久生存 

分 类 号：O175.2[理学—数学]