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The effects of impulsive toxicant input on a single-species population in a small polluted environment
Dong Mei Li1, Tana Guo1, Ya Jing Xu1
1College of Science, Harbin University of Science Technology, Harbin 150080, China.
Abstract:
In this paper, we study a single-species population model with pulse toxicant input in a small polluted environment. The intrinsic rate of population change is affected by the environmental toxin load and toxin in the organisms which is influenced by toxin in the environment and the food chain. A new mathematical model is established. By the Pulse Compare Theorem, we find the surviving threshold of the population and obtain the sufficient conditions of persistence and extinction of the population.
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