A COMPETITION MODEL FOR THE STUDENTS RECRUITMENT BASED ON THE GENDER

Abstract

We consider a competition model describing the predator-prey interaction. Here, the student
population is divided into two sub-populations, namely male student and female student. We assume that the competition occurs not just on the same gender, but also different gender. We perform
dynamical analysis including the existence and the local stability of equilibria. It is shown that the
model has four equilibria. Our analysis shows that the male and female students do not exist, if
the intrinsic growth rate is less than one. Furthermore, if the intrinsic growth rate is greater than
one, then the coexistence of student equilibria exists. It means that the recruitment process on the
student determines the growing effects of the student population at the school. The results show
that there has been a student recruitment for SMA Negeri 50 Maluku Tengah in Maluku Province,
Indonesia. The dynamics of the recruitment system are confirmed by the numerical simulations.