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


  • Eduardo González Olivares Pontificia Universidad Católica de Valparaíso, Chile.
  • Roxana López-Cruz Facultad de Ciencias Matemáticas, Universidad Nacional Mayor de San Marcos, Lima, Perú
  • Alejandro Rojas-Palma Departamento de Matemáticas, Física y Estadística, Universidad Católica del Maule, Chile



Predator-prey model, refuge, stability, bifurcations, limit cycles, separatrix curves


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

Author Biography

Eduardo González Olivares, Pontificia Universidad Católica de Valparaíso, Chile.

Profesor titular Jubilado


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How to Cite

González Olivares, E., López-Cruz, R., & Rojas-Palma, A. (2022). Prey refuge use: its impact on the dynamics of the Lotka-Volterra model. Selecciones Matemáticas, 9(02), 287 - 301.

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