MATHEMATICAL MODELLING THROUGH DIFFERENCE EQUATIONS IN GENETICS

The real world is infinitely complicated. To penetrate that complexity using model building. We must learn to make reasonable, simplifying assumptions about complex process. Suppose the age of a father is four times the age of the son and after five years, the age of the father will be only three times the age of the son. We have to find their ages. So, let x be the age of the father and y be the age of son. Then the data of problem gives – ???? = 4????, ???? + 5 = 3 (???? +5) ???????????????????????? ???? = 40, ???? = 10 These two equations give a mathematical model of the biological situation, so that the biological problem of ages is reduced to the mathematical problem of the solution of a system of two algebraic equations. The solution of equations is finally interpreted biologically to give age of the father and the son. In the same way to solve a given physical, biological or social problem, we first develop a mathematical model for it then solve the model and finally interpret the solution in terms of original problem.