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

•We presented the analytic and numerical analysis of the Bazykin predatorprey model with predator intraspecific interactions and ratio-dependent functional response.•We studied different types of bifurcations, such as saddle-node bifurcations, Hopf bifurcations, homoclinic bifurcations and Bogdanov-...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Applied mathematics and computation 2021-08, Vol.402, p.126152, Article 126152
Hauptverfasser: Arancibia-Ibarra, Claudio, Aguirre, Pablo, Flores, José, van Heijster, Peter
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:•We presented the analytic and numerical analysis of the Bazykin predatorprey model with predator intraspecific interactions and ratio-dependent functional response.•We studied different types of bifurcations, such as saddle-node bifurcations, Hopf bifurcations, homoclinic bifurcations and Bogdanov-Takens bifurcations.•We studied the impact of changing the predator per capita consumption rate has on the basin of attraction of the stable equilibrium points. 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.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2021.126152