Global dynamics of SARS-CoV-2/malaria model with antibody immune response

Mathematical Biosciences and Engineering

A. D. Al Agha¹  A. M. Elaiw² 

[1] 1. Department of Mathematical Science, College of Engineering, University of Business and Technology, Jeddah 21361, Saudi Arabia;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia 3. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut Branch, Assiut, Egypt;

关键词: covid-19;    sars-cov-2;    malaria;    immune response;    global stability;   

DOI  :  10.3934/mbe.2022390

来源: DOAJ

【 摘 要 】

Coronavirus disease 2019 (COVID-19) is a new viral disease caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). Malaria is a parasitic disease caused by Plasmodium parasites. In this paper, we explore a within-host model of SARS-CoV-2/malaria coinfection. This model consists of seven ordinary differential equations that study the interactions between uninfected red blood cells, infected red blood cells, free merozoites, uninfected epithelial cells, infected epithelial cells, free SARS-CoV-2 particles, and antibodies. We show that the model has bounded and nonnegative solutions. We compute all steady state points and derive their existence conditions. We use appropriate Lyapunov functions to confirm the global stability of all steady states. We enhance the reliability of the theoretical results by performing numerical simulations. The steady states reflect the monoinfection and coinfection with malaria and SARS-CoV-2. The shared immune response reduces the concentrations of malaria merozoites and SARS-CoV-2 particles in coinfected patients. This response reduces the severity of SARS-CoV-2 infection in this group of patients.

【 授权许可】

Unknown