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Dynamics of a Beddington-DeAngelis type predator-prey system with constant rate harvesting
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In the paper, a predator-prey system with Beddington-DeAngelis functional response and constant rate harvesting is considered. Various dynamical behaviors of the system including saddle-node points and a cusp of codimension 2 are investigated by using ...
Jaeun Lee, Hunki Baek
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Analysis of modified Holling-Tanner model with strong Allee effect
Mathematical Biosciences and Engineering, 2023 In this paper, we study a predator-prey system, the modified Holling-Tanner model with strong Allee effect. The existence and stability of the non-negative equilibria are discussed first.
Kunlun Huang, Xintian Jia, Cuiping Li
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Bogdanov–Takens Bifurcation in a Shape Memory Alloy Oscillator with Delayed Feedback
Complexity, 2020 This work is focused on a shape memory alloy oscillator with delayed feedback. The main attention is to investigate the Bogdanov–Takens (B-T) bifurcation by choosing feedback parameters A1,2 and time delay τ.
Jinbin Wang, Lifeng Ma
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Spatial Effects of Phase Dynamics on Oscillators Close to Bifurcation
Mathematics, 2023 The phase reduction approach has manifested its efficacy in investigating synchronization behaviors in limit-cycle oscillators. However, spatial distributions of the phase value on the limit cycle may lead to illusions of synchronizations for oscillators
Yihan Wang, Jinjie Zhu
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Bifurcations of a Ratio-Dependent Holling-Tanner System with Refuge and Constant Harvesting
Abstract and Applied Analysis, 2013 The bifurcation properties of a predator prey system with refuge and constant harvesting are investigated. The number of the equilibria and the properties of the system will change due to refuge and harvesting, which leads to the occurrence of several ...
Xia Liu, Yepeng Xing
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Frontiers in Cellular Neuroscience, 2018 Hyperpolarization-activated cyclic nucleotide-gated cation current (Ih) plays important roles in the achievement of many physiological/pathological functions in the nervous system by modulating the electrophysiological activities, such as the rebound ...
Zhiguo Zhao +3 more
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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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Random load fluctuations and collapse probability of a power system operating near codimension 1 saddle-node bifurcation [PDF]
IEEE Power & Energy Society General Meeting, 2012 For a power system operating in the vicinity of the power transfer limit of its transmission system, effect of stochastic fluctuations of power loads can become critical as a sufficiently strong such fluctuation may activate voltage instability and lead ...
D. Podolsky, K. Turitsyn
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Homoclinic Saddle-Node Bifurcations in Singularly Perturbed Systems [PDF]
Journal of Dynamics and Differential Equations, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Doelman, A., Hek, G.M.
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Volume 2: Modeling, Simulation and Control; Bio-Inspired Smart Materials and Systems; Energy Harvesting, 2016 Saddle-node bifurcation can cause dynamical systems undergo large and sudden transitions in their response, which is very sensitive to stochastic and non-stationary influences that are unavoidable in practical applications.
Jin-Ki Kim, R. Harne, Kon-Well Wang
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