Open AccessGlobally asymptotic stability of a stochastic mutualism model with saturated response
Author(s) -
Jingliang Lv,
Heng Liu,
Yifeng Zhang
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1912893l
Subject(s) - mutualism (biology) , mathematics , stability theory , stability (learning theory) , stochastic modelling , mathematical economics , statistics , ecology , nonlinear system , computer science , biology , physics , quantum mechanics , machine learning
A two-species stochastic mutualism model with saturated response is proposed and investigated in this paper. We demonstrate that there exists a unique positive solution to the model for any positive initial value. Under some conditions, we show that the stochastic model is globally asymptotically stable. Finally, we work out some figures to illustrate our results.