Results 91 to 100 of about 1,013 (204)

Consumer sentiment and business cycles: a Neimark-Sacker bifurcation scenario

open access: yes
We seek to demonstrate that consumer sentiment may create fluctuations in economic activity. Our nonlinear discrete-time model possesses, for instance, a Neimark-Sacker bifurcation, after which a stable steady state is replaced by (quasi-)periodic motion.
Frank Westerhoff
core   +1 more source

On the analysis of stability, bifurcation, and chaos control of discrete-time predator-prey model with Allee effect on predator

open access: yes, 2022
In this paper, a discrete predator-prey model with Allee effect which is obtained by the forward Euler method has been investigated. The local stability conditions of the model at the fixed point have been discussed.
Figen KANGALGİL   +5 more
core   +1 more source

Neimark-Sacker Bifurcation of a Third Order Difference Equation

open access: yesFundamental Journal of Mathematics and Applications, 2019
In this paper, we investigate the bifurcation of a third order rational difference equation. Firstly, we show that the equation undergoes a Neimark-Sacker bifurcation when the parameter reaches a critical value. Then, we consider the direction of the Neimark-Sacker bifurcation. Finally, we give some numerical simulations of our results.
Marwan ALOQEİLİ, Asmaa SHAREEF
openaire   +3 more sources

Stability and Bifurcations in a Discrete-Time Eco-Evolutionary Logistic Model

open access: yesMathematics
In this paper I study a two-dimensional discrete-time evolutionary logistic-type model describing the coupled dynamics of population density and a continuously evolving trait.
Rafael Luís
doaj   +1 more source

Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model

open access: yesIEEE Access, 2019
In this paper, we investigate the system undergoes flip and Neimark Sacker bifurcation in the interior of R+2 by using the center manifold theorem and bifurcation theory. The dynamics of this discrete time predator-pre model is investigated in the closed
Yong Li   +4 more
doaj   +1 more source

Flip and Neimark–Sacker bifurcation in a differential equation with piecewise constant arguments model [PDF]

open access: yes, 2017
In this paper, a differential equation with piecewise constant arguments model that describes a population density of a bacteria species in a microcosm is considered. The discretization process of a differential equation with piecewise constant arguments
Kartal, Şenol
core  

Stability and bifurcation analysis in a host–parasitoid model with Hassell growth function

open access: yesAdvances in Difference Equations, 2018
In this paper, a discrete-time host–parasitoid model with Hassell growth function for the host is considered. The sufficient conditions for the existence of the equilibrium points are obtained and a local stability analysis of the model is performed.
Figen Kangalgil, Senol Kartal
doaj   +1 more source

Dynamics of a Discrete Internet Congestion Control Model

open access: yesDiscrete Dynamics in Nature and Society, 2011
We consider a discrete Internet model with a single link accessed by a single source, which responds to congestion signals from the network. Firstly, the stability of the equilibria of the system is investigated by analyzing the characteristic equation ...
Yingguo Li
doaj   +1 more source

The Bifurcation of Two Invariant Closed Curves in a Discrete Model

open access: yesDiscrete Dynamics in Nature and Society, 2018
A discrete population model integrated using the forward Euler method is investigated. The qualitative bifurcation analysis indicates that the model exhibits rich dynamical behaviors including the existence of the equilibrium state, the flip bifurcation,
Yingying Zhang, Yicang Zhou
doaj   +1 more source

A Neimark–Sacker Bifurcation Analysis of a Decision Delay Duopoly Model and Its Control Using Improved Impulsive Control

open access: yesMathematics
This paper investigates the nonlinear dynamics of a decision delay duopoly model that characterizes the competitive landscape within China’s Low-Temperature Milk market.
Zhaohan Ge, Xuecheng Wang, Hengyu Lin
doaj   +1 more source

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