Need to get graph of transition to steady state - Steady state

Respected all, thanks in advance for your help. I am struggling to get the transition to steady state values’ graph starting from a given initial values. While trying to replicate the Sequential City Growth Model (Cuberes, 2009), I was able to solve the model and write its Dynare code (attached) and also got the theoretically consistent results. As shown in Fig 4 of the attached paper, the goal of the exercise is to get the time path required from initial values to reaching its steady state valu

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