Hattaf Khalid, El Karimi Mly Ismail, Mohsen Ahmed A, Hajhouji Zakaria, El Younoussi Majda, Yousfi Noura
Equipe de Recherche en Modélisation et Enseignement des Mathématiques (ERMEM), Centre Régional des Métiers de l'Education et de la Formation (CRMEF), Derb Ghalef, Casablanca 20340, Morocco.
Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M'Sick, Hassan II University of Casablanca, Sidi Othman, Casablanca P.O. Box 7955, Morocco.
Vaccines (Basel). 2023 Jan 17;11(2):201. doi: 10.3390/vaccines11020201.
The emergence of novel RNA viruses like SARS-CoV-2 poses a greater threat to human health. Thus, the main objective of this article is to develop a new mathematical model with a view to better understand the evolutionary behavior of such viruses inside the human body and to determine control strategies to deal with this type of threat. The developed model takes into account two modes of transmission and both classes of infected cells that are latently infected cells and actively infected cells that produce virus particles. The cure of infected cells in latent period as well as the lytic and non-lytic immune response are considered into the model. We first show that the developed model is well-posed from the biological point of view by proving the non-negativity and boundedness of model's solutions. Our analytical results show that the dynamical behavior of the model is fully determined by two threshold parameters one for viral infection and the other for humoral immunity. The effect of antiviral treatment is also investigated. Furthermore, numerical simulations are presented in order to illustrate our analytical results.
像严重急性呼吸综合征冠状病毒2（SARS-CoV-2）这样的新型RNA病毒的出现，对人类健康构成了更大威胁。因此，本文的主要目标是开发一种新的数学模型，以便更好地理解此类病毒在人体内的进化行为，并确定应对这种威胁的控制策略。所开发的模型考虑了两种传播模式以及两类受感染细胞，即潜伏感染细胞和产生病毒颗粒的活跃感染细胞。模型中考虑了潜伏期受感染细胞的治愈以及溶细胞性和非溶细胞性免疫反应。我们首先通过证明模型解的非负性和有界性，从生物学角度表明所开发的模型是适定的。我们的分析结果表明，该模型的动力学行为完全由两个阈值参数决定，一个用于病毒感染，另一个用于体液免疫。还研究了抗病毒治疗的效果。此外，为了说明我们的分析结果，给出了数值模拟。
