Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10662/19256
Títulos: A predator-prey two-sex branching process
Autores/as: Gutiérrez Pérez, Cristina
Minuesa Abril, Carmen
Palabras clave: Predator-prey model;Two-sex branching process;Coexistence;Modelo de depredador-presa;Proceso de ramificación de dos sexos;Coexistencia
Fecha de publicación: 2020
Editor/a: MPDI
Resumen: In this paper, we present the first stochastic process to describe the interaction of predator and prey populations with sexual reproduction. Specifically, we introduce a two-type two-sex controlled branching model. This process is a two-type branching process, where the first type corresponds to the predator population and the second one to the prey population. While each population is described via a two-sex branching model, the interaction and survival of both groups is modelled through control functions depending on the current number of individuals of each type in the ecosystem. In view of their potential for conservation of species, we provide necessary and sufficient conditions for the ultimate extinction of both species, the fixation of one of them and the coexistence of both of them. Moreover, the description of the present predator-prey two-sex branching process on the fixation events can be performed in terms of the behaviour of a one-type two-sex branching process with a random control on the number of individuals, which is also introduced and analysed.
Descripción: This is the accepted version of the following paper published in the journal Mathematics (see the official journal website at https://doi.org/10.3390/math8091408)
URI: http://hdl.handle.net/10662/19256
DOI: 10.3390/math8091408
Colección:DMATE - Artículos

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