Hand written explanation required

Problem 1. Consider a population growing according to the timedelay lo gistic model Nm+1 Nm = Nm(a Nm_3) with a = 0.5, 3 = 0.01, N0 = 20, N1 = 21, N2 = 22. Use software to answer the following questions. (a) What is the longterm behavior of the population? (b) As the intrinsic growth parameter oz increases, does the population become more stable or less stable? Explain the answer also in terms of population dynamics, using your intuitive understanding of the timedelay logistic model