Results 71 to 80 of about 26,882 (236)

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)
doaj   +1 more source

“Assessing Predictability of Environmental Time Series With Statistical and Machine Learning Models”

Environmetrics, Volume 36, Issue 2, March 2025.
ABSTRACT The relative merits of machine learning and statistical methods are discussed recently by Bonas et al. 2004, who raise important open questions for the statistical community regarding the value‐added benefits of data science and the future role of environmental statistics. Specifically, they identify three major knowledge gaps where statistics
Nathaniel K. Newlands, Vyacheslav Lyubchich   +1 more
wiley   +1 more source

Anti-control of Hopf bifurcation for a chaotic system

Nonlinear Engineering
The 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
doaj   +1 more source

Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions [PDF]

arXiv, 2023
In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergoes a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large.
arxiv  

Stochastic thermodynamics for biological functions

Quantitative Biology, Volume 13, Issue 1, March 2025.
Abstract Living systems operate within physical constraints imposed by nonequilibrium thermodynamics. This review explores recent advancements in applying these principles to understand the fundamental limits of biological functions. We introduce the framework of stochastic thermodynamics and its recent developments, followed by its application to ...
Yuansheng Cao, Shiling Liang
wiley   +1 more source

The impact of transcriptional and translational time delays on the cancer network regulated by MicroRNA‐17‐92

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 2999-3021, February 2025.
In this paper, we have formulated and analyzed a mathematical model with multiple time delays of the genetic regulatory network of the microRNA‐17‐92 (miR‐17‐92) cluster. We have focused on the effect of the associated transcriptional and translational time delays of both positive and negative feedback loops on the miR‐17‐92 regulatory network. To gain
Akshay Sharma, Louise Olsen‐Kettle, Tonghua Zhang   +2 more
wiley   +1 more source

Bifurcation Analysis of a Lotka-Volterra Mutualistic System with Multiple Delays

Abstract and Applied Analysis, 2014
A class of Lotka-Volterra mutualistic system with time delays of benefit and feedback delays is introduced. By analyzing the associated characteristic equation, the local stability of the positive equilibrium and existence of Hopf bifurcation are ...
Xin-You Meng, Hai-Feng Huo
doaj   +1 more source

Hopf bifurcation of a delayed single population model with patch structure [PDF]

arXiv, 2019
In this paper, we show the existence of Hopf bifurcation of a delayed single population model with patch structure. The effect of the dispersal rate on the Hopf bifurcation is considered. Especially, if each patch is favorable for the species, we show that when the dispersal rate tends to zero, the limit of the Hopf bifurcation value is the minimum of ...
arxiv  

Nonlinear dynamics in a fear‐driven predator–prey system: Bistability, bifurcations, hydra effect, and optimal harvesting

Mathematical Methods in the Applied Sciences, Volume 48, Issue 2, Page 2194-2223, 30 January 2025.
The impact of predator‐driven fear on ecosystems is significant and can encompass both trophic (direct) and nontrophic (indirect) effects. Previous studies have shown that nontrophic fear effects have an important role in predator–prey dynamics. This study investigates the nontrophic fear effect on prey caused by generalist predators and explores ...
Anuj Kumar Umrao, Sonu Lamba, Prashant K. Srivastava   +2 more
wiley   +1 more source

Nonstandard Hopf bifurcation in switched [PDF]

arXiv, 2010
This paper presents an analysis on nonstandard generalized Hopf bifurcation in a class of switched systems where the lost of stability of linearized systems is not due to the crossing of their complex conjugate eigenvalues but relevant to the switching laws between the subslystems. Thus is remarkably different from the mechanism of the Hopf bifurcation
arxiv