Bifurcation analysis of the predator-prey model with the Allee effect in the predator

DOI10.1007/s00285-021-01707-xzbMath1489.34075arXiv2109.08898OpenAlexW3200064787WikidataQ113905417 ScholiaQ113905417MaRDI QIDQ2074273

Malay Banerjee, Deeptajyoti Sen, Andrew Yu. Morozov, Saktipada Ghorai

Publication date: 8 February 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08898

zbMATH Keywords

stabilitybifurcationextinctionpartially specified modelsAllee effect in predator

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

ROLE OF ALLEE EFFECT AND HARVESTING OF A FOOD-WEB SYSTEM IN THE PRESENCE OF SCAVENGERS ⋮ Additive Allee effect on prey in the dynamics of a Gause predator-prey model with constant or proportional refuge on prey at low or high densities ⋮ BIFURCATION ANALYSIS OF A MODIFIED LESLIE–GOWER PREDATOR–PREY MODEL WITH HUNTING COOPERATION AND FAVORABLE ADDITIONAL FOOD FOR PREDATOR ⋮ Impacts of prey-taxis and nonconstant mortality on a spatiotemporal predator-prey system ⋮ Double Hopf bifurcation induced by spatial memory in a diffusive predator-prey model with Allee effect and maturation delay of predator ⋮ Bifurcation analysis in a diffusive predator-prey model with spatial memory of prey, Allee effect and maturation delay of predator ⋮ Canards, relaxation oscillations, and pattern formation in a slow-fast ratio-dependent predator-prey system

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