JAVA problem

Let us now consider an application of difference equations in Mathematical Biology: a model for the growth of certain herbivore insects living on a species of plants. Mathematically, it is a system of difference equations for a sequence (xn), representing the population density of the plants (in some unit) in year n, and a sequence (yn), representing the population density of the insects in year n. These sequences are supposed to fulfill the equation system xn+1yn+1=eyn+xnxn,=(xn+1)yn,n0 with parameters (1,),(0,),(0,1) and with initial conditions x0>0,y0>0. (d) With (xn),(yn) being the solution of the difference equation (4) for some fixed value of the parameters and initial conditions, and for fixed number of steps k, let M:=max0j