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

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

Applied Mathematics and Computation, 2021, vol. 402, issue C

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.

Keywords: Predator-prey model; Bifurcations; Ratio-dependent functional response; Intraspecific interactions (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:402:y:2021:i:c:s0096300321002009

DOI: 10.1016/j.amc.2021.126152

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