ArticleScientific reports2023
Modelling the dynamics of acute and chronic hepatitis B with optimal control.
Article in Scientific reports, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Article
- Article
- Advanced ANN-LMB modeling of hepatitis B transmission across sexual networks and its disability burden.Scientific reports · 2025Article
- Fractional modeling of hepatitis B virus transmission via heterosexual and homosexual contacts and its disability burden.BMC infectious diseases · 2025Article
- Exploring syphilis transmission dynamics with congenital infection and disability compartments.Scientific reports · 2025Article
- HIV/AIDS and HBV co-infection with optimal control strategies and cost-effectiveness analyses using integer order model.Scientific reports · 2025Article
- Qualitative analysis and chaotic behavior of respiratory syncytial virus infection in human with fractional operator.Scientific reports · 2024Article
- Clinical effectiveness of entecavir versus tenofovir disoproxil fumarate tablets in chronic hepatitis B treatment.American journal of translational research · 2024Article
- A dynamical optimal control theory and cost-effectiveness analyses of the HBV and HIV/AIDS co-infection model.Frontiers in public health · 2024Article
- Mathematical study of polycystic ovarian syndrome disease including medication treatment mechanism for infertility in women.AIMS public health · 2024Article
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3 authors.
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Abstract
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.
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