Using Simulation of Mobility Models] Assume that a 3x3 grid (cell) is used to represent a geographical area, and 20 mobile users follow a mobility model, exploration and preferential return model with probability moving to new location (neighboring cells) with probability Pnew = S, where  = 0.2, S = 2, and  = 0.5. Draw one figure with the trajectory of all mobile users for 100 time slots with respect to 9 cells, and one figure with the probability density function, which is the statistical analytic

 

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of all users in each location. Note: the initial location can be randomly chosen, which can be a Poisson Point distribution, if matlab or C++ is used as your coding language; otherwise, rand can be used. Once a location (or a cell), then it should be recorded a mobile station's buffer as a previously visited location such that it will be considered as Pret = 1 S a preferable return point rather than a new location.