Title: Global stability of virus dynamics model with capsids and two routes of infection

Authors: A.M. Elaiw; S.E. Almalki; A.D. Hobiny

Addresses: Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia ' Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia ' Faculty of Science, Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract: We study the global dynamics of within-host viral infection model with virus DNA- containing capsids. The effect of antibody immune response has been considered. The uninfected cell become infected due to its contacts with a virus or an infected cell. The incidence rate is given by saturation. The well-posedness of the model is establised.We utilise Lyapunov method and apply LaSalle's invariance principle to prove the global stability of the equilibria. We support our theoretical results by numerical simulations.

Keywords: viral infection; global stability; Lyapunov function; capsids; immune system; numerical simulations.

DOI: 10.1504/IJDSDE.2022.122525

International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.1, pp.57 - 74

Received: 12 May 2019
Accepted: 03 Sep 2019
Published online: 03 May 2022 *