DiscussionIn this paper, we have co

Discussion
In this paper, we have considered an HIV/AIDS treatment model with a nonlinear incidence. According to definition
in [14,15], the period of infection is divided into the asymptomatic and the symptomatic phases. By all sorts of
treatment methods, individuals with the symptomatic phases can be transformed into asymptomatic individuals. This
model incorporates constant recruitment rate and exponential natural death, drug therapies, as well as the diseaserelated
death, so that the total population size may vary in time. The dynamics behavior of this model can be determined
by its basic reproduction number R0, i.e. if R0 6 1, the disease-free equilibrium is globally stable. If R0 > 1,
the disease persists and the unique endemic equilibrium is globally asymptotically stable. To explain that treatment
may result in the disease persisting or in the disease dying out, depending on parameter value, we differentiate the
expressions corresponding to R0 with respect to treatment rate a. Thus we have