Results 11 to 20 of about 90,042 (199)
A note on the direction of the transcritical bifurcation in epidemic models [PDF]
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 for the Conditional Distribution of a Diffusion Process
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.
Benaïm, Michel +3 more
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Transcritical bifurcations in nonintegrable Hamiltonian systems [PDF]
Physical Review E, 2008 We report on transcritical bifurcations of periodic orbits in non-integrable two-dimensional Hamiltonian systems. We discuss their existence criteria and some of their properties using a recent mathematical description of transcritical bifurcations in families of symplectic maps.
Brack M., Tanaka K.
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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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Imperfect transcritical and pitchfork bifurcations [PDF]
Journal of Functional Analysis, 2007 Let \(X\) and \(Y\) be Banach spaces, \(F: \mathbb{R} \times X \to Y\) a nonlinear differentiable map. The authors study the bifurcations of solutions for the equation \[ F(\lambda, u) = 0 \] in a neighborhood of a point \((\lambda_0, u_0)\) under the following assumptions: (F1) \(\dim N\left(F_u\left(\lambda_0,u_0\right)\right) = \text{codim}\,R \left(
Liu, Ping, Shi, Junping, Wang, Yuwen
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The transcritical bifurcation in absolutely stable feedback systems
2009 European Control Conference (ECC), 2009 The paper gives new conditions for the occurrence of a transcritical bifurcation in a non-negative passive system under non-linear static feedback. In biological systems, this provides a mechanism for defining activation thresholds in positive feedback systems.
Matthias A. Müller 0001 +2 more
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Functional Shift-Induced Degenerate Transcritical Neimark–Sacker Bifurcation in a Discrete Hypercycle [PDF]
International Journal of Bifurcation and ChaosIn 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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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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Non-degenerate umbilics, the path formulation and gradient bifurcation problems [PDF]
, 2004 Parametrised contact-equivalence is successful for the understanding and classification of the qualitative local behaviour of bifurcation diagrams and their perturbations. Path formulation is an alternative point of view.
Sitta, AM, Furter, JE
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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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