Optimal Control Strategy for TB-HIV/AIDS Co-Infection Model in the Presence of Behaviour Modification

Journal article

Authors / Editors

Kassa, Semu

Research Areas

No matching items found.

Publication Details

Author list: Awoke TD, Kassa SM

Publisher: MDPI

Place: BASEL

Publication year: 2018

Journal: Processes (2227-9717)

Journal acronym: PROCESSES

Volume number: 6

Issue number: 5

Number of pages: 25

ISSN: 2227-9717

eISSN: 2227-9717

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

A mathematical model for a transmission of TB-HIV/AIDS co-infection that incorporates prevalence dependent behaviour change in the population and treatment for the infected (and infectious) class is formulated and analyzed. The two sub-models, when each of the two diseases are considered separately are mathematically analyzed. The theory of optimal control analysis is applied to the full model with the objective of minimizing the aggregate cost of the infections and the control efforts. In the numerical simulation section, various combinations of the controls are also presented and it has been shown in this part that the optimal combination of both prevention and treatment controls will suppress the prevalence of both HIV and TB to below 3% within 10 years. Moreover, it is found that the treatment control is more effective than the preventive controls.

Keywords

behaviour change, Dynamical systems, equilibrium, Human Immunodeficiency Virus (HIV), optimal control, stability, TB-HIV co-infection, treatment, tuberculosis (TB)

Documents