Stability and invariant manifolds of a generalized Beddington host-parasitoid model

DOI10.1080/17513758.2013.849764zbMath1448.92206OpenAlexW2058352180WikidataQ51136346 ScholiaQ51136346MaRDI QIDQ3304537

Ünal Ufuktepe, Sinan Kapçak, Saber N. Elaydi

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2013.849764

zbMATH Keywords

stabilitycentre manifoldhost-parasitoidNicholson-BaileyBeddington

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (15)

Dynamics and bifurcations of a host–parasite model ⋮ Global stability of Beddington model ⋮ Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function ⋮ The effects of host-feeding on stability of discrete-time host-parasitoid population dynamic models ⋮ Global dynamics and bifurcation analysis of a host–parasitoid model with strong Allee effect ⋮ Period-Doubling and Neimark–Sacker Bifurcations of a Beddington Host-Parasitoid Model with a Host Refuge Effect ⋮ 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 ⋮ Bifurcations and dynamics of a discrete predator–prey system ⋮ A discrete-time host–parasitoid model with an Allee effect ⋮ Unnamed Item ⋮ On planar zero-diagonal and zero-trace iterated maps ⋮ Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect ⋮ Stability of a predator–prey model with refuge effect ⋮ Global asymptotical stability of the positive equilibrium of a logistic competitive model

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• Planar competitive and cooperative difference equations
• On the Neimark–Sacker bifurcation in a discrete predator–prey system
• Basin of Attraction of Periodic Orbits of Maps on the Real Line
• Stability of a Ricker-type competition model and the competitive exclusion principle

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