Lv Jinlong, Ma Wanbiao
School of Mathematics and Physics, University of Science and Technology Beijing, Beijing, 100083, PR China.
Appl Math Lett. 2023 Aug;142:108631. doi: 10.1016/j.aml.2023.108631. Epub 2023 Mar 1.
The COVID-19 pandemic has brought a serious threat to human life safety worldwide. SARS-CoV-2 virus mainly binds to the target cell surface receptor ACE2 (Angiotensin-converting enzyme 2 ) through the S protein expressed on the surface of the virus, resulting in infection of target cells. During this infection process, the target cell ACE2 receptor plays a very important mediating role. In this paper, a delay differential equation model containing the mediated effect of target cell receptor is established according to the mechanism of SARS-CoV-2 virus invasion of target cells, and the global stability of the infection-free equilibrium and the infected equilibrium of the model is obtained by using the basic reproduction number and constructing the appropriate Lyapunov functional. The expression of the basic reproduction number intuitively gives the dependence on the expression ratio of the target cell surface ACE2 receptor, which is helpful for the understanding of the mechanism of SARS-CoV-2 virus infection.
新冠疫情给全球人类生命安全带来了严重威胁。严重急性呼吸综合征冠状病毒2（SARS-CoV-2）主要通过病毒表面表达的S蛋白与靶细胞表面受体血管紧张素转换酶2（ACE2）结合，从而导致靶细胞感染。在这个感染过程中，靶细胞ACE2受体起着非常重要的介导作用。本文根据SARS-CoV-2病毒入侵靶细胞的机制，建立了一个包含靶细胞受体介导作用的时滞微分方程模型，并利用基本再生数 以及构造适当的Lyapunov泛函，得到了该模型无感染平衡点和感染平衡点的全局稳定性。基本再生数 的表达式直观地给出了其对靶细胞表面ACE2受体表达比例的依赖性，这有助于理解SARS-CoV-2病毒的感染机制。
