Abstract

A MATHEMATICAL MODEL ON THE CONTROL AND SIMULATION OF HEPATITIS B VIRUS (HBV) INFECTION TRANSMISSION DYNAMICS IN A POPULATION

Remigius Okeke Aja,1 David Omale2 and Godwin Christopher E. Mbah3

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Abstract In this paper, a new mathematical model for Hapatitis B Virus (HBV) infection with controls (enlightenment, condom use and vaccine/therapy) was developed. We showed that the HBV model is biologically meaningful and epidemiologically well posed. Furthermore, we carried out simulation on the equations of the model using Matlab. The simulation results showed that when phi (Infectivity control) is increased, then the exposed treated individuals in the population will decrease. On the contrary, if phi is increased, then the number of individuals who recover from HBV will also increase. The impact of phi (infectivity control: enlightenment, vaccine, condom use and therapy) as a control measure of HBV in the population is remarkable. However enlightenment and vaccine are better control strategies which we can use to effectively control HBV infection in a population than condom and therapy. Keywords: Hapatitis B Virus , Simulation, Matlab , control strategies, enlightenment , vaccine.

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