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- Title
Stationary distribution and density function analysis of stochastic SIQS epidemic model with Markov chain.
- Authors
Cao, Yusi; Fu, Jing
- Abstract
In this paper, a stochastic SIQS epidemic model perturbed by both white and telephone noises is investigated. By constructing several suitable Lyapunov functions, we obtain sufficient conditions for the existence of ergodic stationary distribution of the positive solution. Moreover, by solving the Fokker–Planck equation, we obtain the exact expression of probability density function around the quasi-equilibrium of the stochastic model. In addition, sufficient conditions for the extinction are established. Finally, the results of this paper are further verified by numerical simulation.
- Subjects
STOCHASTIC analysis; PROBABILITY density function; MARKOV processes; FOKKER-Planck equation; EPIDEMICS; STOCHASTIC models; MARKOV chain Monte Carlo
- Publication
International Journal of Biomathematics, 2024, Vol 17, Issue 7, p1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524523500626