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

  • Autores: Francisco Javier Reyes Bahamón, Simeon Casanova Trujillo
  • Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 10, Nº. 2, 2023, págs. 310-323
  • Idioma: español
  • DOI: 10.17268/sel.mat.2023.02.07
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  • Resumen
    • 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.


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