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Dynamics and density function of a stochastic differential infectivity epidemic model with Ornstein–Uhlenbeck process.
- Source :
-
Mathematical Methods in the Applied Sciences . 3/30/2023, Vol. 46 Issue 5, p6245-6261. 17p. - Publication Year :
- 2023
-
Abstract
- This paper considers a stochastic hybrid differential infectivity epidemic model with standard incidence perturbed by mean‐reverting Ornstein–Uhlenbeck process. Applying Lyapunov method, we first show existence and uniqueness of the global solution. Then sufficient conditions for persistence in the mean and exponential extinction of the infectious disease are obtained. Furthermore, by solving the corresponding Fokker–Planck equation, we derive that the global solution around the endemic equilibrium follows a unique probability density function. Finally, numerical simulations are employed to demonstrate the analytical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01704214
- Volume :
- 46
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- Mathematical Methods in the Applied Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 162398224
- Full Text :
- https://doi.org/10.1002/mma.8901