Abstract

s: In this paper, we present the Mathematical model of the effect of complacency in HIV/AIDS preventions. The model was formulated under six (6) assumptions which resulted in a system of first order differential equations. Using methods from dynamical systems theory for analysis, it was shown that the disease free state is stable, the condition for this to be possible is: 1 < (μ + λ), that is, sum of the rate of progression to AIDS and rate of natural death is greater than 1(one). Also the endemic equilibrium state is asymptotically stable.At this point, the disease will not invade the community; otherwise the disease will invade the community. This means that there should be a bound on the rate of progression to AIDS; this is possible if the tempo of campaign against HIV/AIDS is not relaxed.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call