Construct a Markov chain that Describes the Distance Between the Spider and the Fly Using MATLAB

Question

Solve the following using MATLAB:

A spider and a fly move along a straight line in unit increments. The spider always moves towards the fly by one unit. The fly moves towards the spider by one unit with probability 0.3, moves away from the spider by one unit with probability 0.3, and stays at its current location with probability 0.4. The initial distance between the spider and the fly is 5 units. When the spider and the fly land in the same position or cross over each other, the spider captures the fly.  Construct a Markov chain that describes the distance between the spider and the fly. (Hint: the distance 0 is the absorbing state that will terminate the Markov state jumps)

Summary

This question belongs to MATLAB software and discusses about application of MATLAB in mathematics to solve the probability distribution problems.

Answer is in MATLAB format