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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration [PDF]

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
A delayed predator-prey system with a constant rate immigration is considered. Local and global stability of the equilibria are studied, a fixed point bifurcation appears near the boundary equilibrium and Hopf bifurcation occurs near the positive ...
Gang Zhu, Junjie Wei
doaj   +2 more sources

Influence of Coil Current and Oil Film Thickness on Hopf Bifurcation of MLDSB

open access: yesEnergies, 2022
Magnetic-liquid double-suspension bearing (MLDSB) is composed of an electromagnetic supporting system and a hydrostatic supporting system. Due to its greater supporting capacity and stiffness, it is appropriate for middle-speed applications, overloading,
Jianhua Zhao   +6 more
doaj   +1 more source

Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting

open access: yesJournal 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
doaj   +1 more source

Stochastic Hopf–Hopf bifurcation of two-species discrete coupling logistic system with symbiotic interaction

open access: yesAdvances in Difference Equations, 2020
In this paper, stochastic Hopf–Hopf bifurcation of the discrete coupling logistic system with symbiotic interaction is investigated. Firstly, orthogonal polynomial approximation of discrete random function in the Hilbert spaces is applied to reduce the ...
Maosong Yang, Shaojuan Ma
doaj   +1 more source

Cluster Oscillation of a Fractional-Order Duffing System with Slow Variable Parameter Excitation

open access: yesFractal and Fractional, 2022
The complicated dynamic behavior of a fractional-order Duffing system with slow variable parameter excitation is investigated. The stability and bifurcation behavior of the fast subsystem are analyzed by using the dynamic theory of fractional-order ...
Xianghong Li, Yanli Wang, Yongjun Shen
doaj   +1 more source

Equivalent dimensionality reduction method of doubly‐fed induction generator model and discrimination of Hopf bifurcation type

open access: yesEnergy Science & Engineering, 2023
The strong coupling, multivariate, and nonlinear characteristics of the mathematical model of a doubly‐fed induction generator (DFIG) make it challenging to analyze the bifurcation category of the DFIG. Therefore, in this study, we developed a method for
Wei Chen   +4 more
doaj   +1 more source

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