Figure 2: Representation of Immigration-Death system’s dynamics with MSS method. The blue points are the data points. Blue curves are the ODE dynamics for each time interval [ti-1,ti] namely with the
estimated parameter. Red dotted lines show the residuals. 100 simulated observations from Immigration-Death model with Θ=(1,0.1) and T=50 for the estimation of , dynamics shown until T=25.