Analysis of a Heroin Epidemic Model with Saturated Treatment Function

Figure 5

(a) and (b) illustrate the dependence of the heroin epidemic extinction or persistence on the initial states provided to the model. Parameters used include , , , , , , , , , and With these parameters the corresponding (c) The figure illustrates the impact of increasing parameter (the extent of saturation of treatment) on heroin users when . Parameters used include , , , , , , , , and which correspond to (d) The figure shows the effect of treatment on heroin users when all other parameters and initial conditions are fixed.

(a)

(b)

(c)

(d)