Neuronal activity induces symmetry breaking in neurodegenerative disease spreading. [PDF]
Alexandersen CG, Goriely A, Bick C.
europepmc +1 more source
Two predators, one prey model that integrates the effect of supplementary food resources due to one predator's kleptoparasitism under the possibility of retribution by the other predator. [PDF]
Bhattacharjee D +3 more
europepmc +1 more source
Role of informal sector to combat unemployment in developing economy: A modeling study. [PDF]
Misra AK, Kumari M, Sajid M.
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Dynamics and control of a plant-herbivore model incorporating Allee's effect.
Qurban M, Khaliq A, Nisar KS, Shah NA.
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A transcritical bifurcation in an immune response model
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.
Bruno Oliveira +2 more
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Discretizing the transcritical and pitchfork bifurcations – conjugacy results [PDF]
We present two case studies in one-dimensional dynamics concerning the discretization of transcritical (TC) and pitchfork (PF) bifurcations. In the vicinity of a TC or PF bifurcation point and under some natural assumptions on the one-step discretization method of order $p\ge 1$, we show that the time-$h$ exact and the step-size-$h$ discretized ...
Lajos Lóczi
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Transcritical Bifurcation without Parameters in Memristive Circuits [PDF]
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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Control of the saddle-node and transcritical bifurcations
IFAC Postprint Volumes IPPV / International Federation of Automatic Control, 2004Abstract In this paper, the control of the saddle-node and transcritical bifurcations in nonlinear systems is treated. A new approach is presented to find sufficient conditions in terms of the original vector fields. The analysis of the system dynamics is reduced to dimension one through the center manifold theorem.
Fernando Verduzco
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Hopf-transcritical bifurcation in toxic phytoplankton–zooplankton model with delay
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Weihua Jiang, Hongbin Wang, Yong Wang
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Transcritical and zero-Hopf bifurcations in the Genesio system [PDF]
In this paper we study the existence of transcritical and zero--Hopf bifurcations of the third--order ordinary differential equation a b c x - x^2 = 0, called the Genesio equation, which has a unique quadratic nonlinear term and three real parameters.
Pedro Toniol Cardin, Jaume Llibre
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