Title of article :
Mathematical Modeling and Analysis of HIV/AIDS with Herbal Medicine and Antiretroviral Treatment
Author/Authors :
Chenekea, K. R. Department of Mathematicsm - Wollega University, Nekemte, Ethiopia , Edessaa, G. K. Department of Mathematicsm - Wollega University, Nekemte, Ethiopia , Koyaa, P. R. Department of Mathematicsm - Wollega University, Nekemte, Ethiopia
Abstract :
In this paper, a deterministic mathematical model is formulated to study the dynamics of
human population subjected to HIV/AIDS with Herbal medicine and ART as treatments. The total
population is divided into eight compartments. The existence, uniqueness, positivity, and
boundedness of the solutions are shown. Both treatments have a positive impact on the reduction
of viral load in the body. The stability analysis of equilibrium points are done. Disease free
equilibrium point is locally asymptotically stable if the reproduction number is less than unity and
unstable for greater than unity.
Farsi abstract :
فاقد چكيده فارسي
Keywords :
HIV , Herbal medicine , ART , Reproduction number , Stability
Journal title :
International Journal of Mathematical Modelling and Computations