污染环境中具有捕获的Logistic单种群的弱平均持续生存与绝灭

研究了种群以环境和食物链两种途径吸收毒素的具有捕获的单种群Logistic模型.考虑到种群数量的变化对生物体体内毒素浓度及环境毒素浓度的影响,同时也考虑了生物体死亡后体内携带毒素进入环境的因素.通过比较定理得到了系统有界性,应用解的有界性和积分均值的一些性质得到了该系统种群的弱平均持续生存的充分条件和种群走向绝灭的充分条件.

Weakly persistence in the mean and extinction of Logistic single population with harvesting in a polluted environment

The Logistic model of single population with harvesting which assimilates poison by the environment and food chain is studied. Consider the effect of the variance of the population on the internal and environmental toxi- cant concentration and the recycling toxicant into the environment duo to the death organisms. By the comparison theorem, the bound solution of systems is obtained, from which some sufficient criteria under which the population will be weakly persistent in the mean or go to extinction are obtained.