A0248
Title: Modelling predator-prey systems with two-sex branching processes
Authors: Cristina Gutierrez Perez - University of Extremadura (Spain) [presenting]
Carmen Minuesa Abril - University of Extremadura (Spain)
Abstract: The purpose is to introduce a two-sex and density-dependent branching process aimed at describing predator-prey dynamics. Both populations are assumed to engage in sexual reproduction with promiscuous mating. The control over the total number of individuals from each species, which produces offspring after the mating phase in each generation, is modelled using a binomial distribution. The size of this distribution depends on the number of individuals, and the probability of success is influenced by the prey density per predator. This model allows for the characterization of typical cyclic behavior observed in real predator-prey systems. Additionally, results related to the fixation, extinction, and coexistence of both species are presented. In this last case, different growth rates are observed for the prey-to-predator ratio depending on the relation between the parameters of the model.
