脉冲输入毒素对具有阶段结构的单种群生存影响的研究  

Research on the effects of impulsive toxicant input on survival of stage-structure single population

作　　者：李冬梅[1] 徐亚静[1] 刘伟华[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《高校应用数学学报（A辑）》2017年第1期23-32,共10页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：黑龙江省自然科学基金(A2016004)

摘　　要：研究了一类小容量污染环境中脉冲输入毒素对具有阶段结构的单种群生存问题,分别找到了种群生存与灭绝的阈值,利用不等式放缩技巧,得到了种群灭绝和持久生存的充分条件.利用MATLAB数值仿真,验证了理论结果的正确性,分析了毒素输入量,毒素输入周期及种群成长时间对种群生存的影响.In this paper, a problem of the effects of impulsive toxicant input on survival of stage- structure single population is studied in a small polluted environment, and the thresholds of survival and extinction of population are found. By the inequality scaling techniques, the sufficient conditions for extinction and survival of population are obtained. Using numerical simulations of MATLAB, the correctness of the theoretical results are verified, the effects of the amount of the toxins enter, the cycle time of toxin enter and the time of population growth on population survival are analyzed.

关 键 词：小容量污染环境 脉冲输入毒素 阶段结构 持久性 灭绝性 

分 类 号：O175[理学—数学]