Journal
STOCHASTIC ANALYSIS AND APPLICATIONS
Volume 36, Issue 1, Pages 138-151Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/07362994.2017.1378897
Keywords
Stochastic SIRI epidemic model; stationary distribution and ergodicity; extinction; Lyapunov function
Categories
Funding
- NSFC of China [11371085]
- Fundamental Research Funds for the Central Universities [15CX08011A]
- [2016GXNSFBA380006]
- [KY2016YB370]
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In this paper, we study the dynamics of a stochastic Susceptible-Infective-Removed-Infective (SIRI) epidemic model with relapse. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Moreover, sufficient conditions for extinction of the disease are also obtained.
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