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- Title
Dynamics of a Stochastic SVEIR Epidemic Model with Nonlinear Incidence Rate.
- Authors
Wang, Xinghao; Zhang, Liang; Zhang, Xiao-Bing
- Abstract
This paper delves into the analysis of a stochastic epidemic model known as the susceptible–vaccinated–exposed–infectious–recovered (SVEIR) model, where transmission dynamics are governed by a nonlinear function. In the theoretical analysis section, by suitable stochastic Lyapunov functions, we establish that when the threshold value, denoted as R 0 s , falls below 1, the epidemic is destined for extinction. Conversely, if the reproduction number R 0 of the deterministic model surpasses 1, the model manifests an ergodic endemic stationary distribution. In the numerical simulations and data interpretation section, leveraging a graphical analysis with COVID-19 data, we illustrate that random fluctuations possess the capacity to quell disease outbreaks, underscoring the role of vaccines in curtailing the spread of diseases. This study not only contributes to the understanding of epidemic dynamics but also highlights the pivotal role of stochasticity and vaccination strategies in epidemic control and management. The inherent balance and patterns observed in epidemic spread and control strategies, reflect a symmetrical interplay between stochasticity, vaccination, and disease dynamics.
- Subjects
INFECTIOUS disease transmission; EPIDEMICS; DISEASE outbreaks; STOCHASTIC analysis; NONLINEAR functions; BASIC reproduction number
- Publication
Symmetry (20738994), 2024, Vol 16, Issue 4, p467
- ISSN
2073-8994
- Publication type
Article
- DOI
10.3390/sym16040467