Abiodun, Gbenga JacobMarcus, NizarOkosun, Kazeem OareWitbooi, Peter J.2017-06-282017-06-282013Abiodun, G. et al. (2013). A model for control of HIV/aids with parental care. International Journal of Biomathematics, 6(2)1793-5245http://hdl.handle.net/10566/3008http://dx.doi.org/10.1142/S179352451350006XIn 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.enThis is the author-version of the article posted online at: http://dx.doi.org/10.1142/S179352451350006XHIV/AIDSInfected immigrantsBasic reproduction numberDisease-free equilibriumEndemic equilibriumParental careArticle