A population of organisms consists of both male and female members. In a small colony any particular male is likely to mate with any particular female in any time interval of length h, with probability λh + o(h). Each mating immediately produces one offspring, equally likely to be male or female. Let N1(t) and N2(t)

denote the number of males and females in the population at t. Derive the parameters of the continuous-time Markov chain {N1(t), N2(t)}, i.e., the vi, Pi j of Section 6.2.