Equilibria and Bogdanov-Takens Bifurcation Analysis in the Bazykin’s Predator-Prey System
Discrete Dynamics in Nature and Society, 2022 In the paper, we proposed a Bazykin’s predator-prey system to explore the equilibrium point and Bogdanov-Takens bifurcation problems. Firstly, we derived some key parameter threshold conditions to ensure that the Bazykin’s predator-prey system had a ...
Shuangte Wang, Hengguo Yu
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Self-organized criticality in a mesoscopic model of excitatory-inhibitory neuronal populations by short-term and long-term synaptic plasticity [PDF]
Frontiers in Computational Neuroscience, 2022 Dynamics of an interconnected population of excitatory and inhibitory spiking neurons wandering around a Bogdanov-Takens (BT) bifurcation point can generate the observed scale-free avalanches at the population level and the highly variable spike patterns
Masud Ehsani, Jürgen Jost, Jürgen Jost
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Sensorless anti-control and synchronization of chaos of brushless DC motor driver [PDF]
Scientific ReportsAnti-control and synchronization of period doubling and chaos is a method for bifurcation control. It can be used to detect the occurrence or periodic behavior of a bifurcation at the specified position to meet the requirements of brushless direct ...
Wahid Souhail, Hedi Khammari
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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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Bogdanov–Takens Bifurcation Analysis of a Learning-Process Model
Axioms, 2023 In this paper, as a complement to the works by Monterio and Notargiacomo, we analyze the dynamical behavior of a learning-process model in a case where the system admits a unique interior degenerate equilibrium.
Zhenliang Zhu, Yuxian Guan
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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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Complex dynamics of a predator–prey model with opportunistic predator and weak Allee effect in prey
Journal of Biological Dynamics, 2023 In this work, we first modify a Lotka–Volterra predator–prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large ...
Zhenliang Zhu +3 more
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Complex Behaviors of Epidemic Model with Nonlinear Rewiring Rate
Complexity, 2020 An SIS propagation model with the nonlinear rewiring rate on an adaptive network is considered. It is found by bifurcation analysis that the model has the complex behaviors which include the transcritical bifurcation, saddle-node bifurcation, Hopf ...
Ding Fang, Yongxin Zhang, Wendi Wang
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Chaos in the Takens-Bogdanov bifurcation with O(2) symmetry [PDF]
, 2016 The Takens–Bogdanov bifurcation is a codimension two bifurcation that provides a key to the presence of complex dynamics in many systems of physical interest. When the system is translation invariant in one spatial dimension with no left-right preference
A. M. Rucklidge +8 more
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A Viral Infection Model with a Nonlinear Infection Rate
Boundary Value Problems, 2009 A viral infection model with a nonlinear infection rate is constructed based on empirical evidences. Qualitative analysis shows that there is a degenerate singular infection equilibrium.
Yumei Yu +3 more
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