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


  • Francisco J. Reyes Bahamón Escuela de Ciencias Básicas Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Colombia.
  • Simeon Casanova Trujillo Departamento de Matemática y Estadística, Universidad Nacional de Colombia, Colombia.
  • Eduardo Gonzalez-Olivares Pontificia Universidad Católica de Valparaíso, Chile.




Predator-prey model, bifurcation, Allee effect, holling functional response, Local stability, Hopf bifurcation, limit cycles


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.

Author Biography

Francisco J. Reyes Bahamón, Escuela de Ciencias Básicas Tecnología e Ingeniería, Universidad Nacional Abierta y a Distancia, Colombia.

Programa de Licenciatura en Matemáticas


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How to Cite

Reyes Bahamón, F. J., Casanova Trujillo, S. ., & Gonzalez-Olivares, E. (2023). Dynamics of a Leslie-Gower type predation model with non-monotonic functional response and weak Allee effect on prey. Selecciones Matemáticas, 10(02), 310 - 323. https://doi.org/10.17268/sel.mat.2023.02.07

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