Prey refuge use: its impact on the dynamics of the Lotka-Volterra model

• Autores: González Olivares, Eduardo, López-Cruz, Roxana, Rojas-Palma, Alejandro
• Formato: artículo
• Fecha de Publicación: 2022
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/4829
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829
• Nivel de acceso: acceso abierto
• Materia: Predator-prey model; refuge; stability; bifurcations; limit cycles; separatrix curves; Modelo depredador-presa; refugio; estabilidad; bifurcaciones; ciclos límites; curvas separatrices

In several previous works, different predation models have been modified by considering the use of prey refuges, for which a partial analysis of their dynamics is done. In some of them, it is stated that the use of refuge has a stabilizing effect on the predator-prey interaction. One of the purposes of this paper is to show that some of these new systems, derived from the Lotka-Volterra model, this assertion is not fulfilled. In this work, several of the models studied have more than one positive equilibrium point, and the behavior of the solutions is highly dependent on the initial conditions