Results 41 to 50 of about 9,700 (165)
Mathematics, 2022 We studied a delayed predator–prey model with diffusion and anti-predator behavior. Assume that additional food is provided for predator population. Then the stability of the positive equilibrium is considered.
Ruizhi Yang, Xiao Zhao, Yong An
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Anti-control of Hopf bifurcation for a chaotic system
Nonlinear EngineeringThe anti-control of Hopf bifurcation is a method used for bifurcation control. It can be used to realize the occurrence or delay of bifurcation at the specified position to meet the needs of engineering applications. In this study, a 4D chaotic system is
Zhang Liang, Han Qin
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一类时滞计算机网络病毒模型的动力学行为(Dynamics of an epidemic model of computer virus with delays)
Zhejiang Daxue xuebao. Lixue ban, 2015 An SLBRS computer virus model with two delays is considered. Local stability and local Hopf bifurcation of this model are investigated. Sufficient conditions for local stability and the existence of local Hopf bifurcation are obtained by regarding ...
ZHANGZizhen(张子振)
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Global stability and bifurcation analysis of a delayed predator-prey system with prey immigration
Electronic 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
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
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A delayed computer virus model with nonlinear incidence rate
Systems Science & Control Engineering, 2019 An Susceptible-Vaccinated-Exposed-Infectious-Recovered computer virus model with nonlinear incidence rate and two delays is proposed and its Hopf bifurcation is investigated.
Yugui Chu, Wanjun Xia, Zecheng Wang
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Edge of Chaos Theory Unveils the First and Simplest Ever Reported Hodgkin–Huxley Neuristor
Advanced Electronic Materials, Volume 11, Issue 8, June 2025.This manuscript presents the first and simplest ever‐reported electrical cell, which leverages one memristor on Edge of Chaos to reproduce the three‐bifurcation cascade, marking the entire life cycle from birth to extinction via All‐to‐None effect of an electrical spike, also referred to as Action Potential, across axon membranes under monotonic ...
Alon Ascoli +12 more
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Bifurcation of a Microelectromechanical Nonlinear Coupling System with Delay Feedback
Journal of Applied Mathematics, 2014 The dynamics of a kind of electromechanical coupling deformable micromirror device torsion micromirror with delay are investigated. Based on the distribution of eigenvalues, we prove that a sequence of Hopf bifurcation occurs at the equilibrium as the ...
Yanqiu Li +3 more
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Energy Science &Engineering, Volume 13, Issue 6, Page 3307-3327, June 2025.ABSTRACT Coupling stability and multi‐frequency transient characteristics of variable speed pumped storage power station (VSPSPS) under generating mode are main topics of this paper. Firstly, the overall model of VSPSPS is established and the coupling stability analysis of VSPSPS is carried out. Then, multi‐frequency transient characteristics of VSPSPS
Rui Cao, Wencheng Guo
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Improved Gevrey‐1 Estimates of Formal Series Expansions of Center Manifolds
Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.ABSTRACT In this paper, we show that the coefficients ϕn$\phi _n$ of the formal series expansions ∑n=1∞ϕnxn∈xC[[x]]$\sum _{n=1}^\infty \phi _n x^n\in x\mathbb {C}[[x]]$ of center manifolds of planar analytic saddle‐nodes grow like Γ(n+a)$\Gamma (n+a)$ (after rescaling x$x$) as n→∞$n\rightarrow \infty$.
Kristian Uldall Kristiansen
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