A model for control of HIV/AIDS with parental care
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
World Scientific Publishing
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.
Description
Keywords
HIV/AIDS, Infected immigrants, Basic reproduction number, Disease-free equilibrium, Endemic equilibrium, Parental care
Citation
Abiodun, G. et al. (2013). A model for control of HIV/aids with parental care. International Journal of Biomathematics, 6(2)