ArticleScientific reports2022
Correlated stochastic epidemic model for the dynamics of SARS-CoV-2 with vaccination.
Article in Scientific reports, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- Optimal strategies for managing Hepatitis B Virus (HBV) infection: a comprehensive approach through education, vaccination, and therapy.Scientific reports · 2025Article
- Numerical study on fractional order nonlinear SIR-SI model for dengue fever epidemics.Scientific reports · 2025Article
- Analysis of stochastic epidemic model with awareness decay and heterogeneous individuals on multi-weighted networks.Scientific reports · 2024Article
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Authors and funding
5 authors.
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Abstract
In this paper, we propose a mathematical model to describe the influence of the SARS-CoV-2 virus with correlated sources of randomness and with vaccination. The total human population is divided into three groups susceptible, infected, and recovered. Each population group of the model is assumed to be subject to various types of randomness. We develop the correlated stochastic model by considering correlated Brownian motions for the population groups. As the environmental reservoir plays a weighty role in the transmission of the SARS-CoV-2 virus, our model encompasses a fourth stochastic differential equation representing the reservoir. Moreover, the vaccination of susceptible is also considered. Once the correlated stochastic model, the existence and uniqueness of a positive solution are discussed to show the problem's feasibility. The SARS-CoV-2 extinction, as well as persistency, are also examined, and sufficient conditions resulted from our investigation. The theoretical results are supported through numerical/graphical findings.
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