Affiliation:
1. Department of Mathematics, University of Zimbabwe, P. O. Box MP 167, Mount Pleasant, Harare, Zimbabwe
Abstract
Prostitution has been linked with drug/alcohol misuse for ages. A mathematical model to explore the relationship between prostitution and drug/alcohol misuse is proposed and analyzed. The epidemic thresholds known as the reproduction numbers and equilibria for the model are determined and stabilities analyzed. Analysis of the reproduction numbers suggest that prostitution enhances drug/alcohol misuse and vice-versa. Numerical simulations further show high levels of prostitution (drug/alcohol misuse) control in the absence of drug/alcohol misuse (prostitution). Results from this study suggests to effectively control prostitution (drug/alcohol misuse) require strategies that address both prostitution and drug/alcohol misuse. Addressing only one social issue like prostitution through poverty eradication may not be enough to stem prostitution as some would be turning to prostitution to support drug/alcohol addiction. The same scenario happens to drug/alcohol misuse.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology
Cited by
13 articles.
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