Consider the pollution in two adjoining lakes in which the lakes are shown in Figure 6.6 and assume the water flows freely between the two lakes, but the pollutants flow as in the Markov state diagram, Figure 6.7. Let an and bn be the total amounts of pollution in Lake A and Lake B, respectively, after n years. It has also been determined that we can measure the number of pollutants given in the lake in which they originated. Formulate and solve the model of the pollution flow as a Markov chain using a system of difference equations.

Figure 6.7

Figure 6.6