Results 81 to 90 of about 99,559 (165)

Bifurcation Analysis of a Generalist Predator-Prey Model with Holling Type II Harvesting

Axioms
In this paper, we consider a generalist predator–prey model with nonlinear harvesting, which has at most eight non-negative equilibria. We prove that the double positive equilibrium is a cusp of codimension up to 3; therefore, the system exhibits a cusp ...
Mengxin He, Yiqin Wang
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Impact of Unbounded and Discrete Delays on Bogdanov–Takens Bifurcation in Integro-Differential Equations

International audienceThe intricate dynamics of nonlinear systems can be significantly influenced by the careful tuning of system parameters. One notable example is the Bogdanov–Takens bifurcation, which arises as a codimension-2 bifurcation and leads to
Houssem, Achouri
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Global bifurcations in the Takens-Bogdanov normal form with D_4 symmetry near the O(2) limit [PDF]

, 2001
The dynamics of the normal form of the Takens-Bogdanov bifurcation with D_4 symmetry is governed by a one-dimensional map near the gluing bifurcation and near the O(2) integrable limit, rather than the three-dimensional map one would expect.
Rucklidge, A.M.
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Bogdanov-Takens singularity of a neural network model with delay

Electronic Journal of Differential Equations, 2016
In this article, we study Bogdanov-Takens (BT) singularity of a tree-neuron model with time delay. By using the frameworks of Campbell-Yuan [2] and Faria-Magalhaes [4,5], the normal form on the center manifold is derived for this singularity and hence
Xiaoqin P. Wu
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Bifurcation Analysis in Models for Vector-Borne Diseases with Logistic Growth

The Scientific World Journal, 2014
We establish and study vector-borne models with logistic and exponential growth of vector and host populations, respectively. We discuss and analyses the existence and stability of equilibria.
Guihua Li, Zhen Jin
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Bifurcations of an SIRS model with generalized non-monotone incidence rate

Advances in Difference Equations, 2018
We consider an SIRS epidemic model with a more generalized non-monotone incidence: χ(I)=κIp1+Iq $\chi(I)=\frac{\kappa I^{p}}{1+I^{q}}$ with 01$, by qualitative and bifurcation analyses, we show that the model undergoes a saddle-node bifurcation, a Hopf ...
Jinhui Li, Zhidong Teng
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A proof of Perko's conjectures for the Bogdanov-Takens system

, 2021
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove the Perko's conjectures about some analytic properties of the saddle-loop
Torregrosa, Joan, Gasull i Embid, Armengol   +1 more
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Unique normal forms near a degenerate elliptic fixed point in two-parametric families of area-preserving maps [PDF]

, 2014
We derive simplified normal forms for an area-preserving map in a neighbourhood of a degenerate resonant elliptic fixed point. Such fixed points appear in generic families of area-preserving maps. We also derive a simplified normal form for a generic two-
Gelfreikh, Natalia, Gelfreich, Vassili
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Bifurcation of a Leslie–Gower Predator–Prey Model with Nonlinear Harvesting and a Generalist Predator

Axioms
A Leslie–Gower predator–prey model with nonlinear harvesting and a generalist predator is considered in this paper. It is shown that the degenerate positive equilibrium of the system is a cusp of codimension up to 4, and the system admits the cusp-type ...
Mengxin He, Zhong Li
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A parametrised version of Moser's modifying terms theorem [PDF]

A sharpened version of Moser's `modifying terms' KAM theorem is derived, and it is shown how this theorem can be used to investigate the persistence of invariant tori in general situations, including those where some of the Floquet exponents of the ...
Wagener, F.O.O.
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