Bogdanov–Takens bifurcation in a predator–prey model [PDF]
Zeitschrift für angewandte Mathematik und Physik, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhihua +2 more
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Bogdanov-Takens bifurcation for neutral functional differential equations
Electronic Journal of Differential Equations, 2013 In this article, we consider a class of neutral functional differential equations (NFDEs). First, some feasible assumptions and algorithms are given for the determination of Bogdanov-Takens (B-T) singularity.
Jianzhi Cao, Rong Yuan
doaj +2 more sources
Bogdanov-Takens bifurcation of a polynomialdifferential system in biochemical reaction
Computers & Mathematics with Applications, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Yilei, Zhang, Weinian
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Oscillations in three-reaction quadratic mass-action systems. [PDF]
Stud Appl MathAbstract It is known that rank‐two bimolecular mass‐action systems do not admit limit cycles. With a view to understanding which small mass‐action systems admit oscillation, in this paper we study rank‐two networks with bimolecular source complexes but allow target complexes with higher molecularities.
Banaji M, Boros B, Hofbauer J.
europepmc +2 more sources
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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Degenerated Bogdanov-Takens bifurcations in an immuno-tumor model
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2009 A mathematical immuno-tumor model proposed by A. Kavaliauskas [Nonlinear Anal. Model. Control 8, 55 (2003)] and consisting of a Cauchy problem for a system of two first-order ordinary differential equations is studied.
Mariana P. Trifan, Adelina Georgescu
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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.
Xia Liu, Yanwei Liu, Jinling Wang
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Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
Nonlinear Analysis, 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.
Xia Liu, Jingling Wang
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Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting
Journal of Inequalities and Applications, 2021 A prey–predator model with constant-effort harvesting on the prey and predators is investigated in this paper. First, we discuss the number and type of the equilibria by analyzing the equations of equilibria and the distribution of eigenvalues.
Lifang Cheng, Litao Zhang
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Dynamic behaviors of a modified SIR model in epidemic diseases using nonlinear incidence and recovery rates. [PDF]
PLoS ONE, 2017 The transmission of infectious diseases has been studied by mathematical methods since 1760s, among which SIR model shows its advantage in its epidemiological description of spread mechanisms.
Gui-Hua Li, Yong-Xin Zhang
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