Abstract
We consider a probabilistic, discrete-time predator-prey model of the following kind: There is a population of predators and a second one of prey. The predator population evolves according to an ordinary supercritical Galton-Watson process. Each prey is either killed by a predator in which case it cannot reproduce, or it survives and reproduces independently of all other population members and according to the same offspring distribution with mean greater than 1. The resulting process
Citation
Gerold Alsmeyer. "On the Galton-Watson Predator-Prey Process." Ann. Appl. Probab. 3 (1) 198 - 211, February, 1993. https://doi.org/10.1214/aoap/1177005515
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