Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
location: home > paper >
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Asymptotic Behavior of Global Positive Solution to a Stochastic SIS Epidemic Model
DOI:
10.16355/j.cnki.issn1007-9432tyut.2019.03.022
Received:
Accepted:
| Corresponding author | Institute | |
| DONG Lingzhen | College of Mathematics,Taiyuan University of Technology |
abstract:
Asymptotic behavior of global positive solution to a stochastic SIS epidemic model was discussed. At first, the global positive and boundness of the solution was proved. Then, we studied the stochastic stability of the disease-free equilibrium when R0<1 and the asymptotic behavior of the solution around the endemic equilibrium of the deterministic model when R0>1 by Lyapunov function ,Ito's formula and the theory of stochastic differential equations. Finally, numerical simulations were carried out to support our results and reveal the realistic meaning of the stochastic SIS epidemic model.
Keywords:
stochastic SIS model;brownian motion;Ito's formula;asymptotic behavior;lyapunov function