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

被引:30
作者
Awoke, Temesgen Debas [1 ]
Kassa, Semu Mitiku [2 ,3 ]
机构
[1] Kotebe Metropolitan Univ, Dept Math, POB 31248, Addis Ababa, Ethiopia
[2] Botswana Int Univ Sci & Technol, Dept Math & Stat Sci, P Bag 16, Palapye, Botswana
[3] Addis Ababa Univ, Dept Math, POB 1176, Addis Ababa, Ethiopia
关键词
TB-HIV co-infection; behaviour change; dynamical systems; optimal control; equilibrium; treatment; stability; Human Immunodeficiency Virus (HIV); tuberculosis (TB); MATHEMATICAL-ANALYSIS; HIV-INFECTION; TUBERCULOSIS; TRANSMISSION; DISEASE;
D O I
10.3390/pr6050048
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
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.
引用
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页数:25
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