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Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease

Raza A 1 , Ahmadian A 2 , Rafiq M 3 , Salahshour S 4 , Naveed M 5 , Ferrara M 6 Show all authors , Soori AH 5

Affiliations 

  • 1 Department of Mathematics, National College of Business Administration and Economics, Lahore, Pakistan
  • 2 Institute of IR 4.0, The National University of Malaysia, 43600 UKM Bangi, Malaysia
  • 3 Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan
  • 4 Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey
  • 5 Department of Mathematics, Air University, Islamabad, Pakistan
  • 6 School of Mathematical Sciences, College of Science and Technology, Wenzhou-Kean University, Wenzhou, China
Adv Differ Equ, 2020;2020(1):663.
PMID: 33250928 DOI: 10.1186/s13662-020-03116-8

Abstract

In this manuscript, we investigate a nonlinear delayed model to study the dynamics of human-immunodeficiency-virus in the population. For analysis, we find the equilibria of a susceptible-infectious-immune system with a delay term. The well-established tools such as the Routh-Hurwitz criterion, Volterra-Lyapunov function, and Lasalle invariance principle are presented to investigate the stability of the model. The reproduction number and sensitivity of parameters are investigated. If the delay tactics are decreased, then the disease is endemic. On the other hand, if the delay tactics are increased then the disease is controlled in the population. The effect of the delay tactics with subpopulations is investigated. More precisely, all parameters are dependent on delay terms. In the end, to give the strength to a theoretical analysis of the model, a computer simulation is presented.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.

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