Predators and prey

MR0549988

This article presents the basic conclusions contained in the English-language papers by the author [Math. Biosci. 33 (1977), no. 1–2, 135–144; MR0682243] and by the author and W. J. Bühler [ibid. 38 (1978), no. 3–4, 293–301; MR0479452] on the probability of extinction of the prey in a bivariate Markov chain model (Xk,Yk) for the number of prey Xk and number of predators Yk at time kT, k≥0, imbedded in a complex continuous-time process.