Browsing by Author "Dotia, A.K."
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Item A Graph-Theoretic Method for the Basic Reproduction Number in Age-Structured HBV Model(Ilorin Journal of Science, 2018) Dotia, A.K.; Abubakar, Jos U.In this paper, we present an Age-Structured hepatitis B model. This epidemic model investigates different classes of infectious diseases that can be transmitted through an effective contact with infective individuals, who are contagious. The Graph-Theoretic Method for the Basic Reproduction Number was obtained. In addition, the numerical simulation is used to verify the model predictions. The result suggest that the endemic nature of the model is approaching equilibrium with increase immunization program and other control measures put in place.Item A Graph-Theoretic Method on HBY Epidemic Model(Bulletin of the Science Association of Nigeria, 2019) Dotia, A.K.; Zubair, O.R.; Moshood, A.R.; Ibrahim, M.O.; Abubakar, Jos U.In this paper, we present an epidemic model with non-monotonic incidence function. This epidemic model is investigated for different classes of infectious diseases. Mathematical analyses are carried out to determine the positivity of solution and the Graph-Theoretic method is used in calculating the Basic reproduction number. In addition, we obtained the numerical simulation to verify the model predictions. The results suggested that the model is approaching equilibrium with increase immunization program.Item Optimal control approach on hepatitis B model with vaccinations(Journal of the Nigerian Association of Mathematical Physics, 2017-05) Dotia, A.K.; Ibrahim, M.O.; Abubakar, Jos U.We present a time-dependent HBV epidemic model with both prophylactic and therapeutic vaccination. This epidemic model is investigated for different classes of infectious diseases. Mathematical analyses are carried out, that determines the positivity of solution and an optimal control approach is applied in order to find the best way to fight the disease. An optimal control strategy in the form of vaccination, and to minimize or eradicate the mother to child transmission is used. The study concluded that both prophylactic and therapeutic vaccination are efficient ways to curb the epidemic.