Results 1 to 10 of about 2,321 (185)

Stability and Neimark–Sacker Bifurcation of a Delay Difference Equation

Mathematics, 2023
In this paper, we revisit a delay differential equation. By using the semidiscretization method, we derive its discrete model. We mainly deeply dig out a Neimark–Sacker bifurcation of the discrete model.
Xianyi Li, Shaoxia Jin
exaly   +4 more sources

Neimark–Sacker Bifurcation of a Discrete-Time Predator–Prey Model with Prey Refuge Effect

Mathematics, 2023
In this paper, we deduce a predator–prey model with discrete time in the interior of R+2 using a new discrete method to study its local dynamics and Neimark–Sacker bifurcation.
Chun Rui Zhang, Binhao Hong
exaly   +4 more sources

NEIMARK-SACKER BIFURCATION OF A SEMI-DISCRETE HEMATOPOIESIS MODEL

Journal of Applied Analysis and Computation, 2018
In this paper, we derive a semi-discrete system for a nonlinear model of blood cell production. The local stability of its fixed points is investigated by employing a key lemma from [23,24].
Xianyi Li
exaly   +4 more sources

Quantum Neimark-Sacker bifurcation. [PDF]

Sci Rep, 2019
AbstractRecently, it has been demonstrated that asymptotic states of open quantum system can undergo qualitative changes resembling pitchfork, saddle-node, and period doubling classical bifurcations. Here, making use of the periodically modulated open quantum dimer model, we report and investigate a quantum Neimark-Sacker bifurcation.
Yusipov II, Ivanchenko MV.
europepmc   +5 more sources

Neimark-Sacker Bifurcation in a Discrete-Time Financial System [PDF]

Discrete Dynamics in Nature and Society, 2010
A discrete-time financial system is proposed by using forward Euler scheme. Based on explicit Neimark-Sacker bifurcation (also called Hopf bifurcation for map) criterion, normal form method and center manifold theory, the system's existence, stability ...
Baogui Xin, Tong Chen, Junhai Ma
doaj   +2 more sources

Global dynamics, Neimark-Sacker bifurcation and hybrid control in a Leslie’s prey-predator model

Alexandria Engineering Journal, 2022
In the present study, we explore the topological classifications at fixed points, global dynamics, Neimark-Sacker bifurcation and hybrid control in the two-dimensional discrete-time Leslie’s prey-predator model.
A.Q. Khan, S.A.H. Bukhari, M.B. Almatrafi   +2 more
doaj   +2 more sources

Neimark-Sacker bifurcation of a two-dimensional discrete-time predator-prey model [PDF]

Springerplus, 2016
In this paper, we study the dynamics and bifurcation of a two-dimensional discrete-time predator-prey model in the closed first quadrant $$\mathbb {R}_+^2$$R+2.
A. Khan
semanticscholar   +2 more sources

Neimark–Sacker bifurcation and stability analysis of a discrete-time prey–predator model with Allee effect in prey

Advances in Difference Equations, 2019
In this paper, the dynamical behaviors of a discrete-time prey–predator model with Allee effect on the prey population are investigated. The existence and topological classification of the fixed points of the model are analyzed.
Figen Kangalgil
doaj   +2 more sources

Transcritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional response

Mathematical and Computer Modelling of Dynamical Systems
In this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
doaj   +2 more sources

Hybrid control of the Neimark-Sacker bifurcation in a delayed Nicholson's blowflies equation. [PDF]

Adv Differ Equ, 2015
In this article, for delayed Nicholson's blowflies equation, we propose a hybrid control nonstandard finite-difference (NSFD) scheme in which state feedback and parameter perturbation are used to control the Neimark-Sacker bifurcation. Firstly, the local stability of the positive equilibria for hybrid control delay differential equation is discussed ...
Wang Y, Wang L.
europepmc   +4 more sources