The survival analysis for a single-species population model in a polluted environment. (English) Zbl 1128.92046
Summary: This paper concentrates on studying the long-term behavior of a single-species population living in a polluted environment. A new mathematical model is derived assuming that a born organism takes with it a quantity of internal toxicant, and the amount of toxicant stored in each living organism which dies is drifted into the environment. Sufficient criteria for uniform persistence, weak persistence in the mean or extinction of the population are obtained. Also we find some sufficient conditions, depending on the parameters of the model and the clean up rate, under which the population will be persistent.
MSC:
| 92D40 | Ecology |
| 34D99 | Stability theory for ordinary differential equations |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
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