Neimark-Sacker bifurcations in a host-parasitoid system with a host refuge

DOI10.3934/dcdsb.2016019zbMath1381.92081OpenAlexW2471991434MaRDI QIDQ321696

Yunshyong Chow, Sophia R.-J. Jang

Publication date: 14 October 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2016019

zbMATH Keywords

uniform persistenceNeimark-Sacker bifurcationhost-parasitoidspatial refuge

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items (11)

Effects of prey refuge and predator cooperation on a predator–prey system ⋮ 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 ⋮ Bifurcation and stability of a Ricker host-parasitoid model with a host constant refuge and general escape function ⋮ On the global behaviour of May's host–parasitoid model ⋮ 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 ⋮ Neimark–Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect ⋮ Cooperative hunting in a discrete predator–prey system ⋮ Dynamics of a population in two patches with dispersal

Cites Work

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• The effects of refuges on predator-prey interactions: A reconsideration
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• Role of Prey Dispersal and Refuges on Predator-Prey Dynamics
• Uniform Persistence and Repellors for Maps
• Allee effects in a discrete-time host-parasitoid model
• Persistence in dynamical systems

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