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Volume 3, Issue 6, December 2015, Page: 271-282
Modelling HIV/AIDS Transmission Dynamics Considering Counselling, Vaccination and Antiretroviral Therapy (ART) in a Population of Varying Size
Udoo Iorlumun Joseph Martins, Department of Mathematics, School of Sciences, College of Education, Zing, Taraba State, Nigeria
Kimbir Richard Anande, Department of Mathematics, Statistics and Computer Science, Federal University of Agriculture, Makurdi, Benue State, Nigeria
Remilekun Mathew Odekunle, Department of Mathematics, School of Pure and Applied Sciences, Modibbo Adama University of Technology, Yola, Adamawa State, Nigeria
Received: Oct. 6, 2015;       Accepted: Oct. 23, 2015;       Published: Nov. 24, 2015
Abstract
A mathematical model of the transmission dynamics of HIV/AIDS, incorporating counselling, vaccination and antiretroviral therapy (ART) in a varying population, is presented. The existence and stability of the disease-free equilibrium states of the variants of the model are investigated, from which threshold values for vaccination and ART administration rates are established. Furthermore, numerical experiments are carried out to illustrate the effects of vaccination and ART, separately and in combination, on the transmission dynamics of HIV/AIDS in such populations.
Keywords
HIV/AIDS, Counselling, Vaccination, ART, Mathematical Model, Stability, Eradication, Threshold Values
Udoo Iorlumun Joseph Martins, Kimbir Richard Anande, Remilekun Mathew Odekunle, Modelling HIV/AIDS Transmission Dynamics Considering Counselling, Vaccination and Antiretroviral Therapy (ART) in a Population of Varying Size, American Journal of Applied Mathematics. Vol. 3, No. 6, 2015, pp. 271-282. doi: 10.11648/j.ajam.20150306.16
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