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2023 | 48 | 70-94

Article title

Optimal Control Model for Hepatitis B Virus


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In this paper, we proposed an ordinary differential equation model for the transmission of Hepatitis B virus (BHV). The model accounted for the susceptible, exposed, infected, Chronic, and removed classes. We obtained the model's disease-free and endemic equilibrium points and the effective reproductive number. Further, from a thorough sensitivity analysis of the effective reproductive number, we extended the model by incorporating five time-dependent controls to cater to the vertical transmission, vaccination, testing, and treatment of acutely and chronically infected individuals. Numerical simulation was conducted to underscore the effects of the control in combating HBV.






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  • Department of Mathematics & Statistics, School of Mathematics and Computing, Kampala International University, Main Campus, Kampala, Uganda
  • Department of Mathematics & Statistics, School of Mathematics and Computing, Kampala International University, Main Campus, Kampala, Uganda
  • Department of Education Science, Faculty of Education Open and Distance E-Learning, Kampala International University, Main Campus, Kampala, Uganda
  • Department of Computer Science, School of Mathematics and Computing, Kampala International University, Main Campus, Kampala, Uganda
  • Department of Computer Science, College of Science and Technology (CST), School of ICT, University of Rwanda, Kigali, Rwanda


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