Describe in words how selection can maintain genetic variation (i.e., how theinternal equilibrium can exist and be stable)

Math/Physic/Economic/Statistic Problems

Consider the Wright-Fisher diploid model,p(t+ 1) =wAAp(t)2+wAap(t)[1−p(t)]wAAp(t)2+ 2wAap(t)[1−p(t)] +waa[1−p(t)]2,wherep(t) is the frequency of alleleAat the generationtandwijis fitness ofgenotypeij(i,j=A,a).(a) Reduce the number of parameters.

(b) Derive an allele frequency change in one generation, ∆p=p(t+ 1)−p(t).

(c) What are equilibria ofp?

(d) Show the parameter condition in which an internal equilibrium (i.e., 0< ̄p <1) exists and is stable.(e)

Describe in words how selection can maintain genetic variation (i.e., how the internal equilibrium can exist and be stable)