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Journal of Applied Mathematics and Computing

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06-07-2020 | Original Research

A stochastic mutualism model with saturation effect and impulsive toxicant input in a polluted environment

Authors: Wenxu Ning, Zhijun Liu, Lianwen Wang, Ronghua Tan

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2021

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Abstract

In this paper, we use a mean-reverting Ornstein–Uhlenbeck process to model the stochastic perturbations in the environment, and then a stochastic mutualism model with saturation effect and pulse toxicant input in a polluted environment is proposed. A set of sufficient conditions including exponential extinction, persistence in the mean, permanence in time average and stochastic permanence are derived. Numerical simulations are worked out to support the analysis results. Also, we look at the effects of the volatile intensity, reversion rate, impulsive period and impulsive toxicant input amount on the survival of two species.

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Title: A stochastic mutualism model with saturation effect and impulsive toxicant input in a polluted environment
Authors: Wenxu Ning
Zhijun Liu
Lianwen Wang
Ronghua Tan
Publication date: 06-07-2020
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2021
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-020-01387-8

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