Results 71 to 80 of about 1,883 (165)
Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
, 2013 We investigate the dynamics of closed FRW universe and anisotropic Bianchi type-IX universe characterized by two scale factors in a gravity theory including a higher curvature (Gauss-Bonnet) term.
Kawai, Shinsuke, Kim, Edward J.
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, 2008 We present a bifurcation analysis of a normal form for travelling waves in one-dimensional excitable media. The normal form which has been recently proposed on phenomenological grounds is given in form of a differential delay equation.
Georg A. Gottwald +5 more
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Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge
Mathematical Biosciences and Engineering, 2017 To study the impacts of toxin produced by phytoplankton and refuges provided for phytoplankton on phytoplankton-zooplankton interactions in lakes, we establish a simple phytoplankton-zooplankton system with Holling type Ⅱ response function. The existence
Juan Li +3 more
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Canard explosion in delayed equations with multiple timescales [PDF]
, 2014 We analyze canard explosions in delayed differential equations with a one-dimensional slow manifold. This study is applied to explore the dynamics of the van der Pol slow-fast system with delayed self-coupling.
Krupa, Maciej, Touboul, Jonathan D.
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Bifurcation analysis of a model of the budding yeast cell cycle
, 2004 We study the bifurcations of a set of nine nonlinear ordinary differential equations that describe the regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae.
Battogtokh, Dorjsuren, Tyson, John J.
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Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System
Abstract and Applied Analysis, 2013 A delayed predator prey system with refuge and constant rate harvesting is discussed by applying the normal form theory of retarded functional differential equations introduced by Faria and Magalhães. The analysis results show that under some conditions the system has a Bogdanov-Takens singularity.
Liu, Xia, Liu, Yanwei, Wang, Jinling
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A Nonlinear Cross-Diffusion Model for Disease Spread: Turing Instability and Pattern Formation
MathematicsIn this article, we propose a novel nonlinear cross-diffusion framework to model the distribution of susceptible and infected individuals within their habitat using a reduced SIR model that incorporates saturated incidence and treatment rates.
Ravi P. Gupta +2 more
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Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
Nonlinear Analysis: Modelling and Control, 2016 This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays. The feasible algorithms to determine the existence of the corresponding bifurcations of the system at the origin are given. By using center manifold reduction and normal form theory, the
Xia Liu, Jingling Wang
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Bifurcation Analysis of an SIR Epidemic Model with the Contact Transmission Function
Abstract and Applied Analysis, 2014 We consider an SIR endemic model in which the contact transmission function is related to the number of infected population. By theoretical analysis, it is shown that the model exhibits the bistability and undergoes saddle-node bifurcation, the Hopf ...
Guihua Li, Gaofeng Li
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Bogdanov–Takens bifurcation in an oscillator with negative damping and delayed position feedback
Applied Mathematical Modelling, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jiang, Jiao, Song, Yongli
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