Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus

Volume 5, Issue 3, Article 3 - 2018

Authors: Akanni John Olajide;Abidemi Afeez;Jenyo Opeyemi Oluwaseun;Akinpelu Folake O.

Copyright © 2018 . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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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.

How To Cite This Article

@article{Olajide_2018, doi = {10.31559/glm2018.5.3.3}, url = {https://doi.org/10.31559%2Fglm2018.5.3.3}, year = 2018, publisher = {Refaad for Studies and Research}, volume = {5}, number = {3}, pages = {132--147}, author = {Akanni John Olajide and Abidemi Afeez and Jenyo Opeyemi Oluwaseun and Akinpelu Folake O.}, title = {Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus}, journal = {General Letters in Mathematics} }
Olajide, A. J., Afeez, A., Oluwaseun, J. O., & Folake O., A. (2018). Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus. General Letters in Mathematics, 5(3), 132–147. doi:10.31559/glm2018.5.3.3
[1]A. J. Olajide, A. Afeez, J. O. Oluwaseun, and A. Folake O., “Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus,” General Letters in Mathematics, vol. 5, no. 3, pp. 132–147, 2018.
Olajide, Akanni John, Abidemi Afeez, Jenyo Opeyemi Oluwaseun, and Akinpelu Folake O. “Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus.” General Letters in Mathematics 5, no. 3 (2018): 132–147. doi:10.31559/glm2018.5.3.3.