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Abstract In this paper, we formulate and study the single-species population models with impulsive toxicant input in polluted environments. For the deterministic single-species population model, the threshold between persistence and… Click to show full abstract
Abstract In this paper, we formulate and study the single-species population models with impulsive toxicant input in polluted environments. For the deterministic single-species population model, the threshold between persistence and extinction is established for single-species population. For the stochastic single-species population model, there is a unique positive solution, which is a prerequisite for analyzing the long-term behavior of the stochastic model. Then, a threshold dynamic determined by μ is established, which mainly determines the persistence or extinction of the single-species. Numerical simulations are carried out to support our theoretical results.
Journal Title: Physica A: Statistical Mechanics and its Applications
Year Published: 2019
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