In this paper, under the effect of the variance of the dead population on the internal and environmental toxicant density, a Gallopin' s resource-consumer system with constant-rate harvesting in polluted environment was studied. By using comparison theory, the sufficient condition for β-persistence ,β-extinction and zero-extinction was proved.%在考虑死亡种群对环境毒素影响的情况下,研究了污染环境中具有常数收获率的Gallopin资源-消费者种群的生存问题.利用比较原理,给出了种群β生存、β绝灭、零绝灭的充分条件.
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