A modified may-holling-tanner predator-prey model with multiple allee effects on the prey and an alternative food source for the predator

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Arancibia-Ibarra et al. 2021. A modified may-holling-tanner predator-prey model with multiple allee effects on the prey and an alternative food sour .pdf (1.78 MB)

Date

2021

Document type

journal article

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Authors

Arancibia-Ibarra, Claudio, Flores, Jose, Bode, Michael, Pettet, Graeme, van Heijster, Peter

Publisher

American Institute of Mathematical Sciences (AIMS)

URI

https://repositorio.udla.cl/handle/udla/1000

DOI

https://doi.org/10.3934/dcdsb.2020148

Keywords

May-Holling-Tanner model, strong Allee effect, multiple Allee effect, bifurcations, homoclinic curve

Citation

Discrete and Continuous Dynamical Systems - Series B, 26(2), 943-962. https://doi.org/10.3934/dcdsb.2020148

Abstract

We study a predator-prey model with Holling type I functional response, an alternative food source for the predator, and multiple Allee effects on the prey. We show that the model has at most two equi...

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