Effect of Commensalism and Amensalism on a Predator-Prey Model

• Fidadelfo Mondragón-Sánchez ^[1] ; Gamaliel Blé ^[2] ; Miguel Angel Dela-Rosa ^[2] ; Manuel Falconi ^[1]
  1. [1] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
  2. [2] Universidad Juárez Autónoma de Tabasco

     Universidad Juárez Autónoma de Tabasco

     México

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 4, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • The role of unilateral interactions in the stability and permanence of the diverse populations that make up an ecological community is one of the current topics of interest in Ecology. In this paper such role has been studied in the context of a predation-prey interaction and the introduction of amensalism and commensalism as unilateral interactions.

    Indeed, our study is carried out in a 3-dimensionalODEmodel of predator-prey type (one prey, one predator and a third amensal or commensal population). The dynamical analysis of the model shows the impact of amensalism and commensalism on population coexistence. In particular, conditions for the Hopf and Bogdanov-Taken bifurcationx are given in terms of parameters that measure amensalism the parameters that measure the strength of the amensalism and commensalism. Derived from such analysis and numerical simulations, the coexistence of the three populations is guaranteed, and some insight is gained into the ecological characteristics of the predator-prey interactions and the stabilizing effect of unilateral interactions.

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