Hopf bifurcation at infinity and dissipative vector fields of the plane
, 2016 We describe some families of differentiable vector fields with the Hopf bifurcation at infinity, without assuming the continuous differentiability. These vector fields have isolated singular points on the plane, and the initial families are obtained by ...
Alarcón, Begoña, Rabanal, Roland
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Critical Transitions In a Model of a Genetic Regulatory System
, 2014 We consider a model for substrate-depletion oscillations in genetic systems, based on a stochastic differential equation with a slowly evolving external signal. We show the existence of critical transitions in the system.
Berwald, Jesse, Gidea, Marian
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, 2017 Generic bifurcation theory was classically well developed for smooth differential systems, establishing results for $k$-parameter families of planar vector fields.
Novaes, Douglas Duarte +2 more
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Endemic oscillations for SARS-CoV-2 Omicron-A SIRS model analysis. [PDF]
Chaos Solitons Fractals, 2023 Nill F.
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Dynamics near manifolds of equilibria of codimension one and bifurcation without parameters
, 2010 We investigate the breakdown of normal hyperbolicity of a manifold of equilibria of a flow. In contrast to classical bifurcation theory we assume the absence of any flow-invariant foliation at the singularity transverse to the manifold of equilibria.
Liebscher, Stefan
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A Local Analysis of a Mathematical Pattern for Interactions between the Human Immune System and a Pathogenic Agent. [PDF]
Entropy (Basel), 2023 Munteanu F.
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New exploration on bifurcation for fractional-order quaternion-valued neural networks involving leakage delays. [PDF]
Cogn Neurodyn, 2022 Xu C +5 more
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Relative prevalence-based dispersal in an epidemic patch model. [PDF]
J Math Biol, 2023 Lu M, Gao D, Huang J, Wang H.
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An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2022 Pan Q, Huang J, Wang H.
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A geometric analysis of the SIRS epidemiological model on a homogeneous network. [PDF]
J Math Biol, 2021 Jardón-Kojakhmetov H +3 more
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