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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2022 (2022)

Commun. Math. Biol. Neurosci. 2022 (2022), Article ID 77

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

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

PDF (165.8 KB) https://doi.org/10.28919/cmbn/7581

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.

Published
15 August 2022
Volume
2022 (2022)
License
CC BY 3.0

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.

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), 77. https://doi.org/10.28919/cmbn/7581

BibTeX
@article{Ramya2022,
  author  = {Ramya, R. and Maheswari, M.C. and Krishnan, K.},
  title   = {Modified HIV-1 infection model with delay in saturated CTL immune response},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2022},
  year    = {2022},
  pages   = {77},
  doi     = {10.28919/cmbn/7581}
}