Multistable states in a predator-prey model with generalized Holling type III functional response and a strong Allee effect

DOI10.1016/j.cnsns.2024.107846WikidataQ130202103 ScholiaQ130202103MaRDI QIDQ6121848

Yanni Zeng, Pei Yu

Publication date: 27 February 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

zbMATH Keywords

limit cycleHopf bifurcationpredator-prey modelparametric analysismultistable states

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) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

Cites Work

• Unnamed Item
• Multiple limit cycles in a Gause type predator-prey model with Holling type III functional response and Allee effect on prey
• The impact of Allee effect on a predator-prey system with Holling type II functional response
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Modeling the effect of prey refuge on a ratio-dependent predator-prey system with the Allee effect
• Allee dynamics and the spread of invading organisms
• COMPUTATION OF NORMAL FORMS VIA A PERTURBATION TECHNIQUE
• Multistable Phenomena Involving Equilibria and Periodic Motions in Predator–Prey Systems
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• A hierarchical parametric analysis on Hopf bifurcation of an epidemic model

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