Results 31 to 40 of about 1,013 (204)
On the Neimark–Sacker bifurcation in a discrete predator–prey system [PDF]
Journal of Biological Dynamics, 2010 A two-parameter family of discrete models describing a predator-prey interaction is considered, which generalizes a model discussed by Murray, and originally due to Nicholson and Bailey, consisting of two coupled nonlinear difference equations. In contrast to the original case treated by Murray, where the two populations either die out or may display ...
A N W, Hone, M V, Irle, G W, Thurura
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Neimark–Sacker bifurcation for the discrete-delay Kaldor model [PDF]
Chaos, Solitons & Fractals, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dobrescu, Loretti Isabella +1 more
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Discretization analysis of bifurcation based nonlinear amplifiers [PDF]
Advances in Radio Science, 2017 Recently, for modeling biological amplification processes, nonlinear amplifiers based on the supercritical Andronov–Hopf bifurcation have been widely analyzed analytically.
S. Feldkord, M. Reit, W. Mathis
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Numerical bifurcation and hybrid control of a Gompertz model with time delay
Journal of Hebei University of Science and Technology, 2019 In order to study the stability of species, the biological systems are required to reduce or expand the stable region. For a Gompertz model with time delay, a hybrid control Euler method is proposed in which state feedback and parameter perturbation are ...
Jizhi SONG, Yuanyuan WANG
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Discrete Dynamics in Nature and Society, 2018 We present in this paper an investigation on a discrete predator-prey system with Crowley-Martin type functional response to know its complex dynamics on the routes to chaos which are induced by bifurcations.
Huayong Zhang +5 more
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Journal of Physics: Conference Series, 2008 The coefficients of the simplest normal forms of both high-dimensional Neimark-Sacker and generalized Neimark-Sacker bifurcation systems were discussed. On the basis of the simplest normal form theory, using appropriate nonlinear transformations, direct computation and the second complete induction, the central manifold equations were further reduced ...
Q-C Zhang, R-L Tian
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Analyzing Predator-Prey Interaction in Chaotic and Bifurcating Environments
Chaos 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
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From Hopf to Neimark Sacker bifurcation: a computational algorithm [PDF]
International Journal of Computing Science and Mathematics, 2008 To be published in International Journal of Computing Science and Mathematics Volume 1, No.
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Controlling chaos and Neimark-Sacker bifurcation in a discrete-time predator-prey system
, 2020 This article is about a discrete-time predator-prey model obtained by the forward Euler method. The stability of the fixed point of the model and the existence conditions of the Neimark-Sacker bifurcation are investigated.
Figen KANGALGİL +4 more
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Neimark–Sacker Bifurcations in Planar, Piecewise-Smooth, Continuous Maps [PDF]
SIAM Journal on Applied Dynamical Systems, 2008 The multipliers of a fixed point of a piecewise-smooth, continuous map may change discontinuously as the fixed point crosses a discontinuity under smooth variation of parameters. We study the case when the multipliers “jump” from inside to outside the unit circle, and we assume the map is two-dimensional and piecewise-affine.
David J. W. Simpson, James D. Meiss
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