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Neimark-Sacker bifurcation and control of a discrete epidemic model

2010 2nd International Asia Conference on Informatics in Control, Automation and Robotics (CAR 2010), 2010
In this paper, a discrete epidemic model with nonlinear incidence rate obtained by the forward Euler method is investigated. The conditions of existence for Neimark-Sacker bifurcation are derived by using bifurcation theory. In order to eliminate the Neimark-Sacker bifurcation of the discrete epidemic model, a tracking controller is designed such that ...
null Na Yi   +3 more
openaire   +1 more source

A FREQUENCY-ANALYTIC APPROACH FOR CONTROLLING NEIMARK-SACKER BIFURCATIONS

IFAC Proceedings Volumes, 2006
Abstract A frequency-analytic methodology for controlling the amplitudes and stability of Neimark-Sacker bifurcations exhibited by discrete-time systems is presented. The proposed controller consists of a nonlinear static feedback law and a highpass filter used to preserve the dynamical behaviors of the system's equilibria.
María Belén D'Amico   +3 more
openaire   +1 more source

Neimark-Sacker Bifurcation and Stability of a Certain Class of Host-Parasitoid Models with Host Refuge Effect

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2019
In this paper, we consider the dynamics of a certain class of host-parasitoid models, where some hosts are completely free from parasitism either with or without a spatial refuge and the host population is governed by the Beverton–Holt equation.
E. Beso   +3 more
semanticscholar   +1 more source

Codimension-2 bifurcations on the curve of the Neimark–Sacker bifurcation for a discrete-time chemical model

Journal of Mathematical Chemistry, 2023
Z. Eskandari   +3 more
semanticscholar   +1 more source

Stability and Neimark–Sacker Bifurcation of Certain Mixed Monotone Rational Second-Order Difference Equation

Qualitative Theory of Dynamical Systems, 2021
Z. Nurkanović   +2 more
semanticscholar   +1 more source

Stability and Neimark–Sacker bifurcation of a ratio‐dependence predator–prey model

Mathematical Methods in the Applied Sciences, 2017
In this paper, stability and bifurcation of a two‐dimensional ratio‐dependence predator–prey model has been studied in the close first quadrant . It is proved that the model undergoes a period‐doubling bifurcation in a small neighborhood of a boundary equilibrium and moreover, Neimark–Sacker bifurcation occurs at a unique positive equilibrium.
openaire   +1 more source

Supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey model

Mathematical Methods in the Applied Sciences, 2018
We study the local dynamics and supercritical Neimark‐Sacker bifurcation of a discrete‐time Nicholson‐Bailey host‐parasitoid model in the interior of . It is proved that if α>1, then the model has a unique positive equilibrium point , which is locally asymptotically focus, unstable focus and nonhyperbolic under certain parametric condition ...
openaire   +2 more sources

Exploring Neimark-Sacker Bifurcation and Chaos Control in a Tri-species Discrete-Time Model

Iranian Journal of Science
Sujay Goldar   +8 more
semanticscholar   +1 more source

Memristive Hénon map with hidden Neimark–Sacker bifurcations

Nonlinear Dynamics, 2022
Kang Rong   +4 more
openaire   +1 more source

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