Stability of a delayed SARS-CoV-2 reactivation model with logistic growth and adaptive immune response

A.M. Elaiw, A.J. Alsaedi, A.D. Hobiny and S. Aly

Physica A: Statistical Mechanics and its Applications, 2023, vol. 616, issue C

Abstract: This paper develops and analyzes a SARS-CoV-2 dynamics model with logistic growth of healthy epithelial cells, CTL immune and humoral (antibody) immune responses. The model is incorporated with four mixed (distributed/discrete) time delays, delay in the formation of latent infected epithelial cells, delay in the formation of active infected epithelial cells, delay in the activation of latent infected epithelial cells, and maturation delay of new SARS-CoV-2 particles. We establish that the model’s solutions are non-negative and ultimately bounded. We deduce that the model has five steady states and their existence and stability are perfectly determined by four threshold parameters. We study the global stability of the model’s steady states using Lyapunov method. The analytical results are enhanced by numerical simulations. The impact of intracellular time delays on the dynamical behavior of the SARS-CoV-2 is addressed. We noted that increasing the time delay period can suppress the viral replication and control the infection. This could be helpful to create new drugs that extend the delay time period.

Keywords: SARS-CoV-2; Latent infection; Adaptive immunity; Time delay; Lyapunov function; Global stability (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:616:y:2023:i:c:s0378437123001590

DOI: 10.1016/j.physa.2023.128604

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