Global Dynamics of a Holling-II Amensalism System with Nonlinear Growth Rate and Allee Effect on the First Species

DOI10.1142/S0218127421500504zbMath1460.92173OpenAlexW3138872195MaRDI QIDQ5857889

Demou Luo, Q. R. Wang

Publication date: 8 April 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421500504

zbMATH Keywords

nonlinear growth ratebifurcation and global dynamicsAllee effect on first speciestwo-species Holling-II amensalism system

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23)

Related Items (7)

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 ⋮ Stability and Hopf bifurcation analysis for a two-species commensalism system with delay ⋮ Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate ⋮ Global dynamics of a Beddington-DeAngelis amensalism system with weak Allee effect on the first species ⋮ Global dynamics of a Beddington-DeAngelis amensalism system with weak Allee effect on the first species ⋮ Dynamical analysis of a discrete amensalism system with the Beddington-DeAngelis functional response and Allee effect for the unaffected species

Cites Work

• Dynamics of a diffusive predator-prey system with a nonlinear growth rate for the predator
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Dynamic behaviors of a non-selective harvesting Lotka-Volterra amensalism model incorporating partial closure for the populations
• Dynamic behaviors of a nonlinear amensalism model
• Dynamical analysis of a two species amensalism model with Beddington-DeAngelis functional response and Allee effect on the second species
• Bifurcated periodic solutions in an amensalism system with strong generic delay kernel
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