Abstract
Considering the sudden change of environmental disturbance, a stochastic susceptible infectious recovered (SIR) model with Markov jump and the limited medical resources is proposed. Firstly, by a bifurcation analysis of the deterministic SIR model, the maximal medical resource tipping point can be detected to adjust and optimize the medical resource allocation. Then, the impact of environmental disturbance on the basin stability is explored via the first escape probability(FEP). Based on the stochastic averaging of Markov jump process, the SIR epidemic system with switching random excitation is transferred into a probability-weighted Itô stochastic differential equation. Furthermore, the theoretical FEP is solved by the finite difference method and the validity is verified by numerical simulation. It is worth noting that the increase of noise intensity can decrease the basin stability of SIR model, and the existence of switching noise makes a difference in the basin stability compared with the epidemic system without switching intensity.
Original language | English |
---|---|
Article number | 111423 |
Journal | Chaos, Solitons and Fractals |
Volume | 152 |
DOIs | |
State | Published - Nov 2021 |
Keywords
- Basin stability
- Bifurcation
- First escape probability
- Markov jump
- SIR Epidemic model