Modeling the effect of delay strategy on transmission dynamics of HIV/AIDS disease.
Computer results
Delay model
HIV/AIDS disease
Reproduction number
Stability analysis
Journal
Advances in difference equations
ISSN: 1687-1839
Titre abrégé: Adv Differ Equ
Pays: Germany
ID NLM: 101670234
Informations de publication
Date de publication:
2020
2020
Historique:
received:
28
08
2020
accepted:
11
11
2020
entrez:
30
11
2020
pubmed:
1
12
2020
medline:
1
12
2020
Statut:
ppublish
Résumé
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.
Identifiants
pubmed: 33250928
doi: 10.1186/s13662-020-03116-8
pii: 3116
pmc: PMC7686949
doi:
Types de publication
Journal Article
Langues
eng
Pagination
663Informations de copyright
© The Author(s) 2020.
Déclaration de conflit d'intérêts
Competing interestsThe authors declare that they have no competing interests.
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