Transcritical bifurcation in a multiparametric nonlinear system
AIMS Mathematics, 2022 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 ...
Osmin Ferrer +2 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
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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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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
core +8 more sources
Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system [PDF]
Qualitative Theory of Dynamical Systems, 2022 After a discrete two-species predator-prey system with ratio-dependent functional response is topologically and equivalently reduced, some new dynamical properties for the new discrete system are formulated.
Xianyi Li, Yuqing Liu
semanticscholar +4 more sources
Transcritical Bifurcation for the Conditional Distribution of a Diffusion Process [PDF]
Journal of Theoretical Probability, 2022 In this article, we describe a simple class of models of absorbed diffusion processes with parameter, whose conditional law exhibits a transcritical bifurcation.
Michel Benaı̈m +3 more
semanticscholar +6 more sources
Transcritical Bifurcation without Parameters in Memristive Circuits [PDF]
SIAM Journal on Applied Mathematics, 2018 The transcritical bifurcation without parameters (TBWP) describes a stability change along a line of equilibria, resulting from the loss of normal hyperbolicity at a given point of such a line.
Ricardo Riaza
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Transcritical bifurcation yielding global stability for network processes
Nonlinear Analysis, 2020 In this paper, the dynamical system \[ \dot x(t)=f(x(t)) \tag{1} \] is considered in the unit cube \(Q=\{x\in \mathbb{R}^n: 0\le x_i\le 1, i=1,\dots,n\}\) where \(f:\mathbb{R}^n\to\mathbb{R}^n\) is a differentiable function. If \(x=0\) is a solution of system (1), the authors specify sufficient conditions of its global asymptotic stability.
Ágnes Bodó, Peter Šimon
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Functional Shift-Induced Degenerate Transcritical Neimark–Sacker Bifurcation in a Discrete Hypercycle [PDF]
International Journal of Bifurcation and Chaos, 2023 In this paper, we investigate the impact of functional shifts in a time-discrete cross-catalytic system. We use the hypercycle model considering that one of the species shifts from a cooperator to a degrader.
Ernest Fontich +3 more
semanticscholar +6 more sources
Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yong Wang, Hongbin Wang, Weihua Jiang
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