Results 1 to 10 of about 890 (153)
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. Memristive circuits systematically yield manifolds of non-isolated equilibria, and in this paper we address a systematic characterization of the TBWP in ...
Ricardo Riaza
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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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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, Li Xianyi
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A transcritical bifurcation in an immune response model
Journal of Difference Equations and Applications, 2011 The consequences of regulatory T cell (Treg) inhibition of interleukine 2 secretion are examined by mathematical modelling. We find a transcritical bifurcation that might explain two alternative scenarios: in one case the appearance of autoimmune responses and in another the suppression of the immune response.
B M P M Oliveira +2 more
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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.
Weihua Jiang, Hongbin Wang, Yong Wang
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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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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.
Xianyi Li
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The saddle-node-transcritical bifurcation in a population model with constant rate harvesting
Discrete and Continuous Dynamical Systems - Series B, 2010 We study the interaction of saddle-node and transcritical bifurcations in a Lotka-Volterra model with a constant term representing harvesting or migration. Because some of the equilibria of the model lie on an invariant coordinate axis, both the saddle-node and the transcritical bifurcations are of codimension one.
Kie Van Ivanky Saputra +1 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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