Stability of a predator–prey model with refuge effect

DOI10.1080/10236198.2016.1170823zbMath1465.37102OpenAlexW2334606986WikidataQ115550436 ScholiaQ115550436MaRDI QIDQ4991998

Ünal Ufuktepe, Sinan Kapçak, Saber N. Elaydi

Publication date: 4 June 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2016.1170823

zbMATH Keywords

discrete dynamical systemspredator-prey modelrefuge effectBeddington model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items (10)

Global behavior and bifurcation in a class of host-parasitoid models with a constant host refuge ⋮ THE BEHAVIOR OF A CLASS HOST-PARASITOID MODELS WITH HOST REFUGE AND STRONG ALLEE EFFECT UPON THE HOST POPULATION ⋮ The role of host refuge and strong Allee effects in a host–parasitoid system ⋮ Stability of a certain class of a host–parasitoid models with a spatial refuge effect ⋮ A comparative analysis of host–parasitoid models with density dependence preceding parasitism ⋮ Neimark–Sacker bifurcation analysis in an intraguild predation model with general functional responses ⋮ A discrete-time model with non-monotonic functional response and strong Allee effect in prey ⋮ Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect ⋮ On construction of almost periodic sequences and applications to some discrete population models ⋮ Dynamics of a population in two patches with dispersal

Cites Work

• Discrete-time host–parasitoid models with Allee effects: Density dependence versus parasitism
• Stability and invariant manifolds of a generalized Beddington host-parasitoid model
• Bifurcations and dynamics of a discrete predator–prey system
• A discrete-time host–parasitoid model with an Allee effect
• On the Neimark–Sacker bifurcation in a discrete predator–prey system
• Introduction to the 2009 re-publication of the ‘Neimark–Sacker bifurcation theorem’
• On invariant surfaces and bifurcation of periodic solutions of ordinary differential equations
• Allee effects in a discrete-time host-parasitoid model
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