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

• 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
• ISSN: 0025-5564; 1879-3134; 1879-3134
• DOI: 10.1016/j.mbs.2024.109262

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.