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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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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Transcritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional response [PDF]
Mathematical and Computer Modelling of Dynamical SystemsIn this paper, a discrete predator-prey model incorporating herd behaviour and square root response function is deduced from its continuous version by the semi-discretization method.
Danyang Li, Xianyi Li
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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.
Rowena Ball, R. L. Dewar, H. Sugama
core +10 more sources
A sequence of transcritical bifurcations in a suspension of gyrotactic microswimmers in vertical pipe [PDF]
Journal of Fluid Mechanics, 2020 Kessler (Nature, vol. 313, 1985, pp. 218-220) first showed that plume-like structures spontaneously appear from both stationary and flowing suspensions of gyrotactic microswimmers in a vertical pipe.
Lloyd Fung, Yongyun Hwang
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Transcritical bifurcation and flip bifurcation of a new discrete ratio-dependent predator-prey system [PDF]
Qualitative Theory of Dynamical Systems, 2022 Abstract 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. The one is for the existence and local stability for all equilibria of this new system.
Xianyi Li, Yuqing Liu
semanticscholar +3 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. Our proofs are based on the description of the set of quasi-stationary distributions for general two-clusters reducible processes.
Michel Benaı̈m +3 more
semanticscholar +5 more sources
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. At the bifurcation caused by this functional shift, an invariant curve collapses to a point [Formula: see text] while, simultaneously, two fixed
Ernest Fontich +3 more
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Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay
Journal of Mathematical Analysis and Applications, 2014 Abstract In this paper, a phytoplankton–zooplankton model with toxic liberation delay is considered. Firstly, the critical values of Hopf bifurcation, transcritical bifurcation and Hopf-transcritical bifurcation are given, and to give more detailed information about the periodic oscillations, the direction and stability of Hopf bifurcation is studied
Yong Wang, Hongbin Wang, Weihua Jiang
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Universal finite-time scaling in the transcritical, saddle-node, and pitchfork discrete and continuous bifurcations [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear ScienceBifurcations are one of the most remarkable features of dynamical systems. Corral et al. [Sci. Rep. 8(11783), 2018] showed the existence of scaling laws describing the transient (finite-time) dynamics in discrete dynamical systems close to a bifurcation point, following an approach that was valid for the transcritical as well as for the saddle-node ...
Álvaro Corral
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