1. A stochastic analysis of a SIQR epidemic model with short and long-term prophylaxis.
- Author
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Sekkak, Idriss, Nasri, Bouchra R., Rémillard, Bruno N., Kong, Jude Dzevela, and El Fatini, Mohamed
- Subjects
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EPIDEMICS , *PREVENTIVE medicine , *COMMUNICABLE diseases , *STOCHASTIC analysis , *STOCHASTIC models , *LOTKA-Volterra equations , *COMPUTER simulation - Abstract
This paper aims to incorporate a high order diffusion term into a SIQR epidemic model with transient prophylaxis and lasting prophylaxis. The existence and uniqueness of the global positive solution is proven and we find a condition ensuring the extinction of an infectious disease. The existence of a stationary distribution for the stochastic epidemic model is investigated as well. Numerical simulations are conducted to support our theoretical results and an example of application with COVID-19 data from Canada is used to estimate the transmission rate and reproduction number associated with the stochastic model, while constructing a model fitting the data. • A stochastic SIQR epidemic model with higher-order perturbation is investigated. • The existence and uniqueness of the global positive solution are studied. • A stochastic threshold is established for extinction. • COVID-19 data from Canada are used to estimate the transmission rate. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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