Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University of Hassan II of Casablanca, PO Box 146, Mohammedia, Morocco.
Laboratory of Mathematics, Computer Science and Applications, Faculty of Sciences and Technologies, University of Hassan II of Casablanca, PO Box 146, Mohammedia, Morocco.
Math Biosci. 2024 Sep;375:109262. doi: 10.1016/j.mbs.2024.109262. Epub 2024 Jul 20.
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.
本文提出了一个由 Lévy 噪声驱动的随机两菌株传染病模型，用于描述四个 compartment 之间的相互作用：易感者、第一菌株感染个体、第二菌株感染个体和恢复者。两种菌株的感染力由饱和感染率表示。我们的研究首先从研究建议数学模型的唯一全局解开始。然后，它转移到确定两菌株疾病的平均灭绝和持久性的充分条件。为了说明理论结果，我们给出了一些数值模拟。
