A Mathematical Model on the Dynamics of Student-Lecturer-Sex on Campuses
B. A. Obeng
Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana
G. O. Fosu *
Department of ICT and Mathematics, Presbyterian University College, Abetifi, Ghana
E. Akweittey
Department of ICT and Mathematics, Presbyterian University College, Abetifi, Ghana
*Author to whom correspondence should be addressed.
Abstract
Mathematical models for disease spread are mostly based on differential equations with an in-built
threshold that determines the behaviour of the system. This study investigates student-lecturer-sex
(SELEX) on campus by an epidemiological model. The dynamics of these activities among female
students and male lecturers are analyzed by the usual Susceptible-Infected-Recovered (SIR)
model. The model suggests that, admitting and recruitment of new members play a significant
role in reduction of SELEX on campus. It was revealed that, the basic reproductive numbers are
not enough to predict whether or not SELEX will persist on university campus, but minimizing
the admitting and recruitment of infected students and lecturers reduces the spread of the
disease-SELEX.
Keywords: Epidemiology, SIR model, student-lecturer-sex, university campus