Asymptotic behavior and numerical simulations of a Lotka-Volterra mutualism system with white noisesReport as inadecuate




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Advances in Difference Equations

, 2017:125

Proceedings of the International Conference in Mathematics and Application 2016

Abstract

In the present paper, a stochastic mutualism model subject to white noises is established. We first investigate the existence and uniqueness of globally positive solution of the stochastic model. Then we study its asymptotic behavior, such as stochastic permanence and extinction, and estimate the limit of the average in time of the sample paths of every component. We also show that the stochastic system is globally attractive under some appropriate conditions. Finally, numerical simulations are presented to justify the analytical results.

Keywordsmutualism system white noise stochastic permanence extinction global attractivity 



Author: Shengliang Guo - Yijun Hu

Source: https://link.springer.com/







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