Results 31 to 40 of about 2,171 (143)

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

open access: yesAdvances 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   +1 more source

Neimark-Sacker Bifurcation Analysis for a Discrete-Time System of Two Neurons

open access: yesAbstract and Applied Analysis, 2012
A class of discrete-time system modelling a network with two neurons is considered. First, we investigate the global stability of the given system. Next, we study the local stability by techniques developed by Kuznetsov to discrete-time systems.
Changjin Xu
doaj   +1 more source

Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments

open access: yesChaos Theory and Applications, 2023
An analysis of discrete-time predator-prey systems is presented in this paper by determining the minimum amount of prey consumed before predators reproduce, as well as by analyzing the system's stability and bifurcation. In order to investigate the local
Abdul Khaliq, Ansar Abbas
doaj   +1 more source

Stability and Bifurcation Analysis of a Nonlinear Discrete Logistic Model with Delay

open access: yesDiscrete Dynamics in Nature and Society, 2013
We consider a nonlinear discrete logistic model with delay. The characteristic equation of the linearized system at the positive equilibrium is a polynomial equation involving high order terms.
Daiyong Wu   +3 more
doaj   +1 more source

Coexisting patterns of population oscillations: the degenerate Neimark Sacker bifurcation as a generic mechanism

open access: yes, 2010
We investigate a population dynamics model that exhibits a Neimark Sacker bifurcation with a period that is naturally close to 4. Beyond the bifurcation, the period becomes soon locked at 4 due to a strong resonance, and a second attractor of period 2 ...
A. Pikovsky   +8 more
core   +1 more source

Torsional solutions of convection in rotating fluid spheres [PDF]

open access: yes, 2019
A numerical study of the nonlinear torsional solutions of convection in rotating, internally heated, self-gravitating fluid spheres is presented. Their dependence on the Rayleigh number has been found for two pairs of Ekman (E) and small Prandtl (Pr ...
Net Marcé, Marta   +1 more
core   +2 more sources

New Bifurcation Critical Criterion of Flip-Neimark-Sacker Bifurcations for Two-Parameterized Family of n-Dimensional Discrete Systems

open access: yesDiscrete Dynamics in Nature and Society, 2012
A new bifurcation critical criterion of flip-Neimark-Sacker bifurcation is proposed for detecting or anticontrolling this type of codimension-two bifurcation of discrete systems in a general sense. The criterion is built on the properties of coefficients
Shengji Yao
doaj   +1 more source

A Novel Discrete-Time Leslie–Gower Model with the Impact of Allee Effect in Predator Population

open access: yesComplexity, 2022
The discrete-time system has more complex and chaotic dynamical behaviors as compared to the continuous-time system. This paper extends a discrete Leslie–Gower predator-prey system with the Allee effect in the predator’s population, whose dynamics are ...
S. Vinoth   +5 more
doaj   +1 more source

Stability, Bifurcation, and Chaos Control in a Discrete‐Time Predator–Prey Model With Gompertz Growth and Ivlev Functional Response Under Proportional Harvesting

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates the complex dynamics of a discrete‐time predator–prey system incorporating proportionate prey harvesting. The model is derived from a continuous system using the forward Euler discretization method and extends a previously studied model by introducing a harvesting term. First, the positivity of solutions is established to ensure
Saad Jamhan Aldosari   +5 more
wiley   +1 more source

Implementation of a digital evaluation platform to analyze bifurcation based nonlinear amplifiers [PDF]

open access: yesAdvances in Radio Science, 2016
Recently, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have become a focus of attention, especially in the modeling of the mammalian hearing organ.
S. Feldkord, M. Reit, W. Mathis
doaj   +1 more source

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