Stochastic models for toxicant-stressed populations (Q1194428)
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scientific article; zbMATH DE number 64376
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic models for toxicant-stressed populations |
scientific article; zbMATH DE number 64376 |
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Stochastic models for toxicant-stressed populations (English)
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27 September 1992
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A stochastic analogue of the model of stressed population growth [see \textit{T. G. Hallam} and \textit{Ma Zhien}, J. Math. Biol. 24, 327-339 (1986; Zbl 0606.92022)] is presented. This is a generic model for the effects of toxicants on populations in random environments. The effect of the toxicant is considered as biased time-varying random adjustment to the population's intrinsic growth rate. The aim of the paper is to characterize persistence of the population under stress of the toxicant. Results are compared with those for deterministic models of Hallam and Ma Zhien.
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existence of invariant distributions
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stochastic growth models of Ito type
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Stratonovich interpretation
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stressed population growth
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effects of toxicants
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random environments
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intrinsic growth rate
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persistence
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