Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response

Claudio Arancibia-Ibarra*, Pablo Aguirre, José Flores, Peter van Heijster

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We study the Bazykin predator-prey model with predator intraspecific interactions and ratio-dependent functional response and show the existence and stability of two interior equilibrium points. We prove that the model displays a wide range of different bifurcations, such as saddle-node bifurcations, Hopf bifurcations, homoclinic bifurcations and Bogdanov-Takens bifurcations. We use numerical simulations to further illustrate the impact changing the predator per capita consumption rate has on the basin of attraction of the stable equilibrium points, as well as the impact of changing the efficiency with which predators convert consumed prey into new predators.

Original languageEnglish
Article number126152
JournalApplied Mathematics and Computation
Volume402
DOIs
Publication statusPublished - 1 Aug 2021

Keywords

  • Bifurcations
  • Intraspecific interactions
  • Predator-prey model
  • Ratio-dependent functional response

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