Takens–Bogdanov bifurcation of travelling-wave solutions in pipe flow [PDF]
, 2011 The appearance of travelling-wave-type solutions in pipe Poiseuille flow that are disconnected from the basic parabolic profile is numerically studied in detail.
F. Mellibovsky +3 more
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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
doaj +1 more source
The Influence of Generalist Predator and Michaelis–Menten Harvesting in a Holling–Tanner Model
AxiomsIn this paper, a Holling–Tanner predator–prey model with generalist predators and Michaelis–Menten-type prey harvesting is investigated. We analyze the existence and stability of equilibria and find the system has at most three positive equilibria.
Tanglei Huang, Huiling Wu, Zhong Li
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ANALYSIS OF THE TAKENS–BOGDANOV BIFURCATION ON m-PARAMETERIZED VECTOR FIELDS
, 2010 Given an m-parameterized family of n-dimensional vector fields, such that: (i) for some value of the parameters, the family has an equilibrium point, (ii) its linearization has a double zero eigenvalue and no other eigenvalue on the imaginary axis ...
JOAQUÍN DELGADO +2 more
core +1 more source
Relative prevalence-based dispersal in an epidemic patch model. [PDF]
J Math Biol, 2023 Lu M, Gao D, Huang J, Wang H.
europepmc +1 more source
Schooling behavior driven complexities in a fear-induced prey-predator system with harvesting under deterministic and stochastic environments. [PDF]
Sci Rep, 2023 Sk N, Pal S.
europepmc +1 more source
An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2022 Pan Q, Huang J, Wang H.
europepmc +1 more source
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
doaj +1 more source
Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment. [PDF]
Int J Dyn Control, 2023 Saha P, Ghosh U.
europepmc +1 more source
Dynamics of a state-dependent delay-differential equation
Electronic Journal of Qualitative Theory of Differential EquationsWe present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon +4 more
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