Mathematical model of gonorrhea in a hetero sexuals with time dependent population

Abstract

This paper deals with a mathematical model of gonorrhea among hetero-sexual. This model composed of males and females is characterizes growth rates of promiscuous population (P), Infective male population (I1), and Infective female population (I2). In all three equilibrium points are identified for the system under investigation, the criterion for the asymptotic stability of all three possible equilibrium points is derived of those, purely healthy  state is stable  under  the  condition F.M <1 and co-existence state  is stable with the condition F.M >1.