MATHEMATICAL MODELING OF THE EFFECT OF IRRESPONSIBLE IMMIGRANT ON THE TRANSMISSION DYNAMICS OF HIV

40 PAGES (7823 WORDS) Mathematics Project

ABSTRACT

This project proposes a non – linear mathematical model to study the effect of irresponsible infected immigrants on the spread of HIV/AIDS in a heterogeneous population with a constant recruitment of susceptible. The equilibrium points, stability analysis and numerical simulation on the model are presented. It is realised that at the disease – free equilibrium, the model is stable when the basic reproduction number R0