Abstract
In this paper, we introduce two perturbations in the classical deterministic susceptible-infected-susceptible epidemic model with two correlated Brownian motions. We consider two perturbations in the deterministic SIS model and formulate the original model as a stochastic differential equation with two correlated Brownian motions for the number of infected population, based on the previous work from Gray et al. (SIAM J Appl Math 71(3):876–902, 2011) and Hening and Nguyen (J Math Biol 77:135–163, 2017. https://doi.org/10.1007/s00285-017-1192-8). Conditions for the solution to become extinction and persistence are then stated, followed by computer simulation to illustrate the results.
| Original language | English |
|---|---|
| Pages (from-to) | 2175-2187 |
| Number of pages | 13 |
| Journal | Nonlinear Dynamics |
| Volume | 97 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Sept 2019 |
| Externally published | Yes |
Keywords
- Correlated Brownian motions
- Extinction
- Persistence
- Stationary distribution
ASJC Scopus subject areas
- Control and Systems Engineering
- Aerospace Engineering
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics
- Electrical and Electronic Engineering