Results 31 to 40 of about 534 (61)
Advanced Nonlinear StudiesWe show the existence of unbounded connected components of 2π-periodic positive solutions for the equations with one-dimensional Minkowski-curvature operator −u′1−u′2′=λa(x)f(u,u′),x∈R, $-{\left(\frac{{u}^{\prime }}{\sqrt{1-{u}^{\prime 2}}}\right ...
Ma Ruyun, Zhao Zhongzi, Su Xiaoxiao
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A model of competing species that exhibits zip bifurcation
Revista Integración, 2017 The purpose of this paper is to present a concrete model of competing population species that exhibits a phenomenon called zip bifurcation. The Zip Bifurcation was introduced by Farkas in 1984 for a three dimensional ODE prey-predator system describing a
Luis F. Echeverri +2 more
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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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The jump phenomenon associated with the dynamics of the duffing equation
Physics Open, 2020 The mathematical nature of the jump phenomenon associated with the damped, harmonically forced Duffing equation is investigated, as regards the amplitude of the harmonic response of the system.
M.P. Markakis
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Mathematical modelling of COVID-19 dynamics using SVEAIQHR model
Computational and Mathematical BiophysicsIn this study, we formulate an eight-compartment mathematical model with vaccination as one of the compartments to analyze the dynamics of COVID-19 transmission.
Venkatesh Ambalarajan +4 more
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European Journal of Applied MathematicsThis paper studies the spatio-temporal dynamics of a diffusive plant-sulphide model with toxicity delay. More specifically, the effects of discrete delay and distributed delay on the dynamics are explored, respectively.
Yonghui Xia, Jianglong Xiao, Jianshe Yu
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Periodic or homoclinic orbit bifurcated from a heteroclinic loop for high-dimensional systems
Open MathematicsConsider an autonomous ordinary differential equation in Rn{{\mathbb{R}}}^{n}, which has a heteroclinic loop. Assume that the heteroclinic loop consists of two degenerate heteroclinic orbits γ1{\gamma }_{1}, γ2{\gamma }_{2} and two saddle points with ...
Long Bin, Yang Yiying
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