Affiliation:
1. Department of Mathematics, Jaypee University of Engineering & Technology, Guna (M.P.), India
2. Department of Mathematics, Sagar Institute of Research & Technology, Bhopal (M.P.), India
Abstract
AbstractThis paper concentrates on the role of prostitutes in HIV/AIDS disease transmission among common population. In this communication, a nonlinear Susceptible-Infected-Treated-AIDS infected (SITA) model is developed to study the transmission dynamics of HIV/AIDS infection in three different classes. The behavior of the model is analyzed by the basic reproduction number R0 and the results of the model are investigated by using stability theory of differential equations. Analysis of the model demonstrates that the disease-free equilibrium is locally stable for ${R_0}\, \lt \,1$ and at ${R_0} \gt \,1, \,$ the endemic equilibrium is globally stable. Further, numerical simulation of the model is carried out.
Subject
Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics
Reference52 articles.
1. HIV Critical Intersections http www who int gender documents sexworkers pdf;Violence Against Women AIDS
2. Modeling the spread of HIV/AIDS with infective immigrants and time delay;Int. J. Nonlinear Sci.,2013
3. A dynamical model for stage-specific HIV incidences with application to sub-Saharan Africa;Appl. Math. Comput.,2003
4. HIV Critical Intersections http www who int gender documents sexworkers pdf;Violence Against Women AIDS
5. Mathematical analysis of the transmission dynamics of HIV/AIDS: Role of female sex workers;Appl. Math. Inf. Sci.,2014
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