Results 41 to 50 of about 1,852 (142)
Degenerate Bogdanov–Takens bifurcations in a bulk viscous cosmology
European Physical Journal C: Particles and Fields, 2020 Using the dynamical system theory we show that the Friedmann–Robertson–Walker (FRW) cosmological model with bulk viscous fluid in the presence of cosmological constant is equivalent to a degenerate two dimensional Bogdanov–Takens normal form.
Asmaa Abdel Azim +2 more
doaj +1 more source
Bogdanov-Takens resonance in time-delayed systems [PDF]
, 2017 We analyze the oscillatory dynamics of a time-delayed dynamical system subjected to a periodic external forcing. We show that, for certain values of the delay, the response can be greatly enhanced by a very small forcing amplitude.
Coccolo, Mattia +3 more
core +2 more sources
AIMS MathematicsConsidering the impact of fear levels, Allee effects and hunting cooperation factors on system stability, a Leslie-Gower predator-prey model was formulated.
Weili Kong, Yuanfu Shao
doaj +1 more source
Bifurcation of an SIRS Model with a Modified Nonlinear Incidence Rate
Mathematics, 2023 An SIRS epidemic model with a modified nonlinear incidence rate is studied, which describes that the infectivity is strong at first as the emergence of a new disease or the reemergence of an old disease, but then the psychological effect will weaken the ...
Yingying Zhang, Chentong Li
doaj +1 more source
Control of Integrable Hamiltonian Systems and Degenerate Bifurcations
, 2004 We discuss control of low-dimensional systems which, when uncontrolled, are integrable in the Hamiltonian sense. The controller targets an exact solution of the system in a region where the uncontrolled dynamics has invariant tori.
C. W. Kulp +8 more
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao +2 more
wiley +1 more source
Dynamics of a modified Leslie-Gower predator-prey model with double Allee effects
Mathematical Biosciences and EngineeringIn this paper, we investigate the dynamic behavior of a modified Leslie-Gower predator-prey model with the Allee effect on both prey and predator. It is shown that the model has at most two positive equilibria, where one is always a hyperbolic saddle and
Mengyun Xing, Mengxin He, Zhong Li
doaj +1 more source
Bifurcation analysis in a diffusive phytoplankton–zooplankton model with harvesting
Boundary Value Problems, 2021 A diffusive phytoplankton–zooplankton model with nonlinear harvesting is considered in this paper. Firstly, using the harvesting as the parameter, we get the existence and stability of the positive steady state, and also investigate the existence of ...
Yong Wang
doaj +1 more source
On the Takens-Bogdanov Bifurcation in the Chua’s Equation [PDF]
, 1999 The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation sets, where the presence of ...
Algaba Durán, Antonio +3 more
core
Symmetry-breaking instabilities of convection in squares [PDF]
, 1996 Convection in an infinite fluid layer is often modelled by considering a finite box with periodic boundary conditions in the two horizontal directions. The translational invariance of the problem implies that any solution can be translated horizontally ...
Rucklidge, A.M.
core +2 more sources