Metamorphosis of plasma turbulence-shear flow dynamics through a transcritical bifurcation [PDF]
Physical Review E, 2002 The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses.
A. E. Hubbard +44 more
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Transcritical bifurcation of an immunosuppressive infection model [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2016 In this paper, the dynamic behavior of an immunosuppressive infection model, speci_cally AIDS, is analyzed. We show through a simple mathematical model that a sigmoidal CTL response can lead to the occurrence of transcritical bifurcation.
Elham Shamsara +2 more
doaj +2 more sources
Bifurcation and hybrid control of a discrete eco-epidemiological model with Holling type-III. [PDF]
PLoS ONEIn this paper, a three dimensional discrete eco-epidemiological model with Holling type-III functional response is proposed. Boundedness of the solutions of the system is analyzed.
Lizhi Fei, Hengmin Lv, Heping Wang
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A note on the direction of the transcritical bifurcation in epidemic models
Nonlinear Analysis, 2015 In classical epidemic models, it is common to observe that a disease-free equilibrium looses its stability for R0=1 and a transcritical bifurcation takes place.
Bruno Buonomo
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Dinâmica não-linear e reagente limitante: um exemplo de bifurcação transcrítica
Química Nova, 2014 The nonlinear analysis of a general mixed second order reaction was performed, aiming to explore some basic tools concerning the mathematics of nonlinear differential equations. Concepts of stability around fixed points based on linear stability analysis
Diego J. R. da Silva
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Dynamics of a Discrete Leslie–Gower Model with Harvesting and Holling-II Functional Response
Mathematics, 2023 Recently, Christian Cortés García proposed and studied a continuous modified Leslie–Gower model with harvesting and alternative food for predator and Holling-II functional response, and proved that the model undergoes transcritical bifurcation, saddle ...
Chen Zhang, Xianyi Li
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Transcritical bifurcations in nonintegrable Hamiltonian systems [PDF]
Physical Review E, 2008 LaTeX, 38 pages, 13 figures; substantially revised version v4; to be published in Phys.
Brack M., Tanaka K.
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Transcritical bifurcation in a multiparametric nonlinear system
AIMS Mathematics, 2022 <abstract><p>In this paper we study a multiparametric nonlinear system with a transcritical bifurcation in a region of points of $ \mathbb{R}^3 $. The parametric regions that constitute the boundaries where important qualitative changes occur in the dynamics of the system are determined.
Osmin Ferrer +2 more
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Nonautonomous transcritical and pitchfork bifurcations in impulsive systems [PDF]
Miskolc Mathematical Notes, 2013 For the first time analogues of nonautonomous transcritical and pitchfork bifurcations are investigated for impulsive systems.
Akhmet, M. U., Kashkynbayev, A.
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A balance equation determines a switch in neuronal excitability. [PDF]
PLoS Computational Biology, 2013 We use the qualitative insight of a planar neuronal phase portrait to detect an excitability switch in arbitrary conductance-based models from a simple mathematical condition. The condition expresses a balance between ion channels that provide a negative
Alessio Franci +3 more
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