Modelling the dynamics of acute and chronic hepatitis B with optimal control.
Journal
Scientific reports
ISSN: 2045-2322
Titre abrégé: Sci Rep
Pays: England
ID NLM: 101563288
Informations de publication
Date de publication:
11 09 2023
11 09 2023
Historique:
received:
17
04
2023
accepted:
27
07
2023
medline:
13
9
2023
pubmed:
12
9
2023
entrez:
11
9
2023
Statut:
epublish
Résumé
This article examines hepatitis B dynamics under distinct infection phases and multiple transmissions. We formulate the epidemic problem based on the characteristics of the disease. It is shown that the epidemiological model is mathematically and biologically meaningful of its well-posedness (positivity, boundedness, and biologically feasible region). The reproductive number is then calculated to find the equilibria and the stability analysis of the epidemic model is performed. A backward bifurcation is also investigated in the proposed epidemic problem. With the help of two control measures (treatment and vaccination), we develop control strategies to minimize the infected population (acute and chronic). To solve the proposed control problem, we utilize Pontryagin's Maximum Principle. Some simulations are conducted to illustrate the investigation of the analytical work and the effect of control analysis.
Identifiants
pubmed: 37696844
doi: 10.1038/s41598-023-39582-9
pii: 10.1038/s41598-023-39582-9
pmc: PMC10495432
doi:
Types de publication
Journal Article
Research Support, Non-U.S. Gov't
Langues
eng
Sous-ensembles de citation
IM
Pagination
14980Informations de copyright
© 2023. Springer Nature Limited.
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