污染与捕获条件下一类广义Logistic种群的生存分析

On the Existence of a Kind of General Logistic Population with Pollution and Capture

采用比较原理,研究了在容量较大的环境中受污染和捕获影响时一类改进的广义Logistic种群的生存状况.给出了种群β-绝灭、β-生存及在有限时间内零绝灭的条件,并得到了保证种群β-生存的最大收获率.

This paper studies the existence of a kind of general Logistic population which live in a large capacity and polluted environment with capture by comparability principle. It gives the conditions for β - extinction、 β - persistence and extinction in finite time, and the maximal harvesting rate when the population is β - persistence is obtained.