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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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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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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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Mathematical Biosciences and Engineering, 2023 In this article, we will investigate a retarded van der Pol-Duffing oscillator with multiple delays. At first, we will find conditions for which Bogdanov-Takens (B-T) bifurcation occurs around the trivial equilibrium of the proposed system.
Mohammad Sajid +3 more
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Basins of attraction in a modified ratio-dependent predator-prey model with prey refugee
AIMS Mathematics, 2022 In this paper, we analyze a modified ratio-dependent predator-prey model with a strong Allee effect and linear prey refugee. The model exhibits rich dynamics with the existence of separatrices in the phase plane in-between basins of attraction associated
Khairul Saleh
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AIMS Mathematics, 2022 Here we will investigate a retarded damped oscillator with double delays. We looked at the combined effect of retarded delay and feedback delay and found that the retarded delay plays a significant role in controlling the oscillation of the proposed ...
Sahabuddin Sarwardi +3 more
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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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Dynamic behaviors of a Leslie-Gower model with strong Allee effect and fear effect in prey
Mathematical Biosciences and Engineering, 2023 We incorporate the strong Allee effect and fear effect in prey into a Leslie-Gower model. The origin is an attractor, which implies that the ecological system collapses at low densities.
Zhenliang Zhu +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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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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