Dynamics of a Leslie-Gower type predation model with non-monotonic functional response and weak Allee effect on prey

• Autores: Reyes Bahamón, Francisco J., Casanova Trujillo, Simeon, Gonzalez-Olivares, Eduardo
• Formato: artículo
• Fecha de Publicación: 2023
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revistas - Universidad Nacional de Trujillo
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/5533
• Enlace del recurso: https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5533
• Nivel de acceso: acceso abierto
• Materia: Predator-prey model, bifurcation; Allee effect; holling functional response; Local stability; Hopf bifurcation; limit cycles; Modelo depredador-presa; efecto Allee; respuesta funcional; estabilidd local; bifurcación de Hopf; ciclos límites

This research concerns with analysis of a class of modified predator- prey type Leslie-Gower models. The model is described by an autonomous nonlinear ordinary differential equation system. The functional response of predators is Holling IV type or non-monotone, and the growth of prey is affected by the Allee effect. An important aspect is the study of the point (0, 0) since it has a strong influence on the behavior of the system being essential for the existence and extinction of both species, although the proposed system is not define there.