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

Joint Authors

Olajide, Akanni John
Afeez, Abidemi
Oluwaseun, Jenyo Opeyemi
Akinpelu Folake O.

Source

General Letters in Mathematics

Issue

Vol. 5, Issue 3 (31 Dec. 2018), pp.132-147, 16 p.

Publisher

Refaad Center for Studies and Research

Publication Date

2018-12-31

Country of Publication

Jordan

No. of Pages

16

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Olajide, Akanni John& Afeez, Abidemi& Oluwaseun, Jenyo Opeyemi& Akinpelu Folake O.. 2018. 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.
https://search.emarefa.net/detail/BIM-937787

Modern Language Association (MLA)

Olajide, Akanni John…[et al.]. 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 (Dec. 2018), pp.132-147.
https://search.emarefa.net/detail/BIM-937787

American Medical Association (AMA)

Olajide, Akanni John& Afeez, Abidemi& Oluwaseun, Jenyo Opeyemi& Akinpelu Folake O.. Mathematical modeling of transmission dynamics and optimal control of isolation, vaccination and treatment for hepatitis B virus. General Letters in Mathematics. 2018. Vol. 5, no. 3, pp.132-147.
https://search.emarefa.net/detail/BIM-937787

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 146-147

Record ID

BIM-937787