A MODEL FOR CONTROL OF HIV/AIDS WITH PARENTAL CARE

Author:

ABIODUN GBENGA JACOB1,MARCUS NIZAR1,OKOSUN KAZEEM OARE2,WITBOOI PETER JOSEPH1

Affiliation:

1. Department of Mathematics and Applied Mathematics, University of the Western Cape, Private Bag X17, Bellville 7535, South Africa

2. Department of Mathematics, Vaal University of Technology, Private Bag X021, Vanderbijlpark 1900, South Africa

Abstract

In this study we investigate the HIV/AIDS epidemic in a population which experiences a significant flow of immigrants. We derive and analyze a mathematical model that describes the dynamics of HIV infection among the immigrant youths and how parental care can minimize or prevent the spread of the disease in the population. We analyze the model with both screening control and parental care, then investigate its stability and sensitivity behavior. We also conduct both qualitative and quantitative analyses. It is observed that in the absence of infected youths, disease-free equilibrium is achievable and is globally asymptotically stable. We establish optimal strategies for the control of the disease with screening and parental care, and provide numerical simulations to illustrate the analytic results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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