Modelling the Effect of Irresponsible Infective Immigrants on the Transmission Dynamics of HIV / AIDS

In this paper, a non-linear mathematical model is proposed to study the effect of irresponsible infected immigrants on the spread of HIV/AIDS in a variable size population with a constant recruitment of susceptible. Stability analysis and numerical simulations on the model are presented. The results shows that the basic reproductive number, 1, corresponds to a disease free equilibrium, indicating that the disease is under control. The disease becomes endemic if 1 and thus the disease remain in the population. The analysis further shows that strict immigration policies such as screening, and reduction in the number of immigrants in to a given population could help control the spread of the disease.

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