Modified HIV-1 infection model with delay in saturated CTL immune response

R. Ramya, M.C. Maheswari, K. Krishnan

Abstract


We propose a HIV-1 dynamics model with CTL immune response and both infected and immune cell infections. Both actively infected cells and immune cells are incorporated with two time delays. The infected-susceptible and immune-susceptible infection rates are given by saturated incidence. By calculation, we obtain immunity-inactivated reproduction number R0 and immunity-activated reproduction number R1. By analyzing the distribution of roots of the corresponding characteristic equations, we study the local stability of an infection-free equilibrium, an immunity-inactivated equilibrium and an immunity-activated equilibrium of the model. We discuss the persistence theory for addressing the long term survival of all components of system.

Full Text: PDF

Published: 2022-08-15

How to Cite this Article:

R. Ramya, M.C. Maheswari, K. Krishnan, Modified HIV-1 infection model with delay in saturated CTL immune response, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 77

Copyright © 2022 R. Ramya, M.C. Maheswari, K. Krishnan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

ISSN 2052-2541

Editorial Office: office@scik.org

 

Copyright ©2022 CMBN