Stochastic two-strain epidemic model with saturated incidence rates driven by Lévy noise

In this paper, we introduce a stochastic two-strain epidemic model driven by Lévy noise describing the interaction between four compartments; susceptible, infected individuals by the first strain, infected ones by the second strain and the recovered individuals. The forces of infection, for both str...

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Bibliographic Details
Published in:Mathematical biosciences 2024-09, Vol.375, p.109262, Article 109262
Main Authors: Sadki, Marya, Allali, Karam
Format: Article
Language:English
Subjects:
Communicable Diseases - epidemiology
Computer Simulation
Epidemic model
Epidemics - statistics & numerical data
Epidemiological Models
Extinction
Humans
Incidence
Lévy noise
Models, Biological
Persistence in mean
Stochastic Processes
Two-strain
White noise
Citations: Items that this one cites
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Summary:In this paper, we introduce a stochastic two-strain epidemic model driven by Lévy noise describing the interaction between four compartments; susceptible, infected individuals by the first strain, infected ones by the second strain and the recovered individuals. The forces of infection, for both strains, are represented by saturated incidence rates. Our study begins with the investigation of unique global solution of the suggested mathematical model. Then, it moves to the determination of sufficient conditions of extinction and persistence in mean of the two-strain disease. In order to illustrate the theoretical findings, we give some numerical simulations. •The model describes the dynamics of two strains infection.•The infection is perturbed by Lévy and white noises.•The well-posedness of the model is proved.•The extinction and persistence of the two-strain disease are fulfilled.•Numerical simulations support the theoretical findings.
ISSN:0025-5564
1879-3134
1879-3134
DOI:10.1016/j.mbs.2024.109262