[PDF][PDF] Mathematical modeling of transmission dynamics and optimal control of isolation, vaccination and treatment for hepatitis B virus

AJ Olajide, A Afeez, JO Oluwaseun… - General Letters in …, 2018 - academia.edu
AJ Olajide, A Afeez, JO Oluwaseun, OA Folake
General Letters in Mathematics, 2018academia.edu
In this paper we formulate an SEICR (Susceptible-Exposed-Infective-Carrier-Recovered)
model of Hepatitis B Virus (HBV) disease transmission with constant recruitment. The
threshold parameter R0< 1, known as the Basic Reproduction Number was found. This
model has two equilibria, disease-free equilibrium and endemic equilibrium. The Sensitivity
analysis of the model was done, three time-varying control variables are considered and a
control strategy for the minimization of infected individuals with latent, infectious and chronic …
Abstract
In this paper we formulate an SEICR (Susceptible-Exposed-Infective-Carrier-Recovered) model of Hepatitis B Virus (HBV) disease transmission with constant recruitment. The threshold parameter R0< 1, known as the Basic Reproduction Number was found. This model has two equilibria, disease-free equilibrium and endemic equilibrium. The Sensitivity analysis of the model was done, three time-varying control variables are considered and a control strategy for the minimization of infected individuals with latent, infectious and chronic HBV was developed.
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