Uso de refugio por las presas: su impacto en la dinámica del modelo de Lotka-Volterra

• González Olivares, Eduardo ; López-Cruz, Roxana ^[1] ; Rojas-Palma, Alejandro ^[2]
  1. [1] Universidad Nacional Mayor de San Marcos

     Universidad Nacional Mayor de San Marcos

     Perú

     
  2. [2] Universidad Católica del Maule

     Universidad Católica del Maule

     Provincia de Talca, Chile

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 9, Nº. 2, 2022 (Ejemplar dedicado a: August - December), págs. 287-301
• Idioma: español
• DOI: 10.17268/sel.mat.2022.02.06
• Títulos paralelos:
  • Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En diversos trabajos anteriores se han modificado diferentes modelos de depredacion considerando el uso de refugio de presas, para lo cual se efectua un analisis parcial de su dinamica.

    En algunos de ellos se afirma que el uso de refugio tiene un efecto estabilizador en la interaccion depredador-presa. Uno de los propositos de este trabajo es mostrar que en algunos de estos nuevos sistemas, derivados del modelo de Lotka-Volterra, no se cumple tal afirmacion.Varios de los modelos estudiados tienen mas de un punto de equilibrio positivo, y el comportamiento de las soluciones son altamente dependientes de las condiciones iniciales

  • English

    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

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