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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/6625

Title: Epidemiological modeling of promiscuous life style on University Campus
Authors: Adu, Obeng Benjamin
Issue Date: 20-Oct-2014
Abstract: This work looks at the mathematical analysis of promiscuous life style on uni-versity campus. An epidemiological model depicting the dynamics of campus promiscuous life style as an epidemic and is used to study the existence and how the 'disease' is spread.The promiscuous life style include drug taking, alcoholism, obesity, prostitution and many others.In the work the one considered is prostitu-tion.The terms promiscuous life style and prostitution are used interchangeably . The model used is the SIR model. Three models are considered; promiscuous life style among students, promiscuous life style among male lecturers and one among female students and male lecturers. The basic reproductive numbers are established and analyze in each model. The stability analysis of the disease-free and endemic state reveals unstable disease free and stable endemic state. Graph-ical result is presented and discussion on them is done. The numerical analysis reveals transmission rate being more sensitive to the model than the recovery and departure rate. Numerical solutions are presented to illustrate the stability analysis using Generalized Euler method. The model suggests that the admitting and recruitment of new members play a signi cant role in reduction of campus promiscuous life style problem. Thus, minimizing recruitment of prostitute student and prostitute lecturers reduces the spread of the disease, revealing that basic reproductive numbers are not enough to predict whether or not culture of prostitution will persist on university campus
Description: A thesis submitted to the Department of Mathematics, Kwame Nkrumah University of Science and Technology in Partial fufillment of the requirement for the degree of Master of Philosophy applied Mathematics, 2014
URI: http://hdl.handle.net/123456789/6625
Appears in Collections:College of Science

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