Global dynamics of a Beddington-DeAngelis amensalism system with weak Allee effect on the first species

DOI10.1016/j.amc.2021.126368zbMath1489.34066OpenAlexW3170051317MaRDI QIDQ5919136

Q. R. Wang, Demou Luo

Publication date: 11 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2021.126368

zbMATH Keywords

a two species Beddington-DeAngelis amensalism systembifurcation and global dynamicsstrong Allee effect on the second speciesweak Allee effect on the first species

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20)

Related Items (4)

Global bifurcation and pattern formation for a reaction-diffusion predator-prey model with prey-taxis and double Beddington-DeAngelis functional responses ⋮ Bifurcation Analysis for Two-Species Commensalism (Amensalism) Systems with Distributed Delays ⋮ Bifurcation of a discrete predator-prey model with increasing functional response and constant-yield prey harvesting ⋮ Stability and Hopf bifurcation analysis for a two-species commensalism system with delay

Cites Work

• Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances
• Dynamic behaviors of a non-selective harvesting Lotka-Volterra amensalism model incorporating partial closure for the populations
• Stability and bifurcation analysis of two species amensalism model with Michaelis-Menten type harvesting and a cover for the first species
• Dynamical analysis of a two species amensalism model with Beddington-DeAngelis functional response and Allee effect on the second species
• Analysis of competitive chemostat models with the Beddington-DeAngelis functional response and impulsive effect
• Qualitative theory of planar differential systems
• Persistence in reaction diffusion models with weak Allee effect
• ALLEE EFFECTS: POPULATION GROWTH, CRITICAL DENSITY, AND THE CHANCE OF EXTINCTION
• Bifurcated periodic solutions in an amensalism system with strong generic delay kernel
• Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species
• Speeds of invasion in a model with strong or weak Allee effects
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