Under the assumption that the growth of the population satisfies the generalized logistic equation, a new single species model in polluted environment is proposed in this work. Sufficient conditions for permanence and extinction of the species in the model are given respectively. It is shown that our model and the results are improvements of those in He and Wang [Appl. Math. Model. 31 (2007) 2227–2238].

中文翻译：

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污染环境中单一物种模型的持久和灭绝

在种群增长满足广义逻辑方程的假设下，本文提出了一种新的污染环境单物种模型。分别给出了模型中物种存在和灭绝的充分条件。结果表明，我们的模型和结果是对 He 和 Wang [Appl. 数学。模型。31 (2007) 2227–2238]。