On the Neimark–Sacker bifurcation in a discrete predator–prey system

DOI10.1080/17513750903528192zbMath1403.92247OpenAlexW1986579301WikidataQ51642828 ScholiaQ51642828MaRDI QIDQ4560178

G. W. Thurura, Andrew N. W. Hone, Michael V. Irle

Publication date: 5 December 2018

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

Full work available at URL: https://doi.org/10.1080/17513750903528192

zbMATH Keywords

difference equationsNeimark-Sacker bifurcationpredator-prey system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Bifurcation theory for difference equations (39A28)

Related Items

Noise-induced quasiperiodicity in a ring of unidirectionally-coupled nonidentical maps, Dynamics and bifurcations of a host–parasite model, The Mathematics of Host-Parasitoid Population Dynamics, Quiescent phases and stability in discrete time dynamical systems, 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, Global asymptotical stability of the coexistence fixed point of a Ricker-type competitive model, Bifurcation, invariant curve and hybrid control in a discrete-time predator-prey system, Unnamed Item, Dynamics of a plant–herbivore model with differential–difference equations, Border-collision bifurcations in a driven time-delay system, Analysis of a Class of Low-Dimensional Models of Mutation and Predation, Stability of a predator–prey model with refuge effect, Zombies: a simple discrete model of the apocalypse

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• From Hopf to Neimark-Sacker bifurcation: A computational algorithm
• Elements of applied bifurcation theory.
• A new approach to the perturbation theory of invariant surfaces