Open AccessAnalysis of a stochastic regime switching SIRI epidemic model with double saturated rates
Author(s) -
Tongtong Li
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1453/1/012154
Subject(s) - uniqueness , epidemic model , lyapunov function , mathematics , mathematical economics , mathematical analysis , demography , nonlinear system , physics , population , sociology , quantum mechanics
In this paper, we propose and investigate a stochastic SIRI epidemic model with saturated treatment and incidence rates. Firstly, by constructing a suitable Lyapunov function, we establish the existence and uniqueness condition of the global positive solution of the model. After that, we obtain the thresholds of the random SIRI epidemic model. Then, we consider the asymptotic behavior of the stochastic SIRI model. Lastly, numerical simulations are introduced to illustrate our results.