4.7 Article

Front Propagation of Exponentially Truncated Fractional-Order Epidemics

相关参考文献

注意:仅列出部分参考文献,下载原文获取全部文献信息。
Article Mathematics, Applied

Further investigation on bifurcation and their control of fractional-order bidirectional associative memory neural networks involving four neurons and multiple delays

Changjin Xu et al.

Summary: This work investigates the stability, existence, and control of Hopf bifurcation in a newly established fractional-order delayed bidirectional associative memory (BAM) neural network with four neurons. By setting up a new neural network model, utilizing stability theory and bifurcation knowledge of fractional-order differential dynamical systems, and designing a suitable controller, the study shows that time delay has a significant impact on the stability and bifurcation of the network model.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2023)

Article Computer Science, Interdisciplinary Applications

Stability and bifurcation analysis of a fractional predator-prey model involving two nonidentical delays

Jun Yuan et al.

Summary: This research discusses bifurcation in a fractional order predator-prey system with two nonidentical delays. Critical delay values for Hopf bifurcation were calculated, and the effects of fractional order and additional delay on the bifurcation point were explored, showing that stability performance is greatly affected by these factors. The study suggests that the generation of Hopf bifurcation can be accelerated with an increase in fractional order and additional delay.

MATHEMATICS AND COMPUTERS IN SIMULATION (2021)

Article Computer Science, Artificial Intelligence

Bifurcation Properties for Fractional Order Delayed BAM Neural Networks

Changjin Xu et al.

Summary: This paper focuses on the stability and Hopf bifurcation of fractional order BAM neural networks with or without leakage delay. By applying Laplace transform, stability and bifurcation theory of fractional-order differential equations and Matlab software, the study establishes the conditions and criteria for stability and the existence of Hopf bifurcation in these networks. The results have implications for neural network design and contribute to the bifurcation theory of fractional order delayed differential equations.

COGNITIVE COMPUTATION (2021)

Article Physics, Multidisciplinary

Dynamic optimal control of enhancing feedback treatment for a delayed fractional order predator-prey model

Chengdai Huang et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2020)

Review Medical Laboratory Technology

The COVID-19 pandemic

Marco Ciotti et al.

CRITICAL REVIEWS IN CLINICAL LABORATORY SCIENCES (2020)

Article Mathematics, Interdisciplinary Applications

Turing-Hopf bifurcation in a diffusive mussel-algae model with time-fractional-order derivative

Salih Djilali et al.

CHAOS SOLITONS & FRACTALS (2020)

Article Engineering, Multidisciplinary

A Time-Dependent SIR Model for COVID-19 With Undetectable Infected Persons

Yi-Cheng Chen et al.

IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING (2020)

Article Computer Science, Artificial Intelligence

Novel bifurcation results for a delayed fractional-order quaternion-valued neural network

Chengdai Huang et al.

NEURAL NETWORKS (2019)

Article Multidisciplinary Sciences

A Levy-flight diffusion model to predict transgenic pollen dispersal

Valentin Vallaeys et al.

JOURNAL OF THE ROYAL SOCIETY INTERFACE (2017)

Article Multidisciplinary Sciences

Signatures of a globally optimal searching strategy in the three-dimensional foraging flights of bumblebees

Mathieu Lihoreau et al.

SCIENTIFIC REPORTS (2016)

Article Mathematics, Applied

A CHEBYSHEV PSEUDOSPECTRAL METHOD TO SOLVE THE SPACE-TIME TEMPERED FRACTIONAL DIFFUSION EQUATION

Emmanuel Hanert et al.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2014)

Article Computer Science, Interdisciplinary Applications

A radial basis functions method for fractional diffusion equations

Cecile Piret et al.

JOURNAL OF COMPUTATIONAL PHYSICS (2013)

Article Biology

Front dynamics in a two-species competition model driven by Levy flights

Emmanuel Hanert

JOURNAL OF THEORETICAL BIOLOGY (2012)

Article Computer Science, Interdisciplinary Applications

On the numerical solution of space-time fractional diffusion models

Emmanuel Hanert

COMPUTERS & FLUIDS (2011)

Article Biology

Front dynamics in fractional-order epidemic models

Emmanuel Hanert et al.

JOURNAL OF THEORETICAL BIOLOGY (2011)

Article Environmental Sciences

A comparison of three Eulerian numerical methods for fractional-order transport models

Emmanuel Hanert

ENVIRONMENTAL FLUID MECHANICS (2010)

Article Mathematics, Applied

Tempered stable Levy motion and transient super-diffusion

Boris Baeumer et al.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2010)

Article Multidisciplinary Sciences

Environmental context explains Levy and Brownian movement patterns of marine predators

Nicolas E. Humphries et al.

NATURE (2010)

Article Ecology

Long-Distance Dispersal and Accelerating Waves of Disease: Empirical Relationships

Christopher C. Mundt et al.

AMERICAN NATURALIST (2009)

Article Biology

Spatial spreading of West Nile Virus described by traveling waves

Norberto Anibal Maidana et al.

JOURNAL OF THEORETICAL BIOLOGY (2009)

Article Physics, Fluids & Plasmas

Truncation effects in superdiffusive front propagation with Levy flights

D. del-Castillo-Negrete

PHYSICAL REVIEW E (2009)

Article Multidisciplinary Sciences

Scaling laws of marine predator search behaviour

David W. Sims et al.

NATURE (2008)

Article Biology

Describing the geographic spread of dengue disease by traveling waves

Norberto Anibal Maidana et al.

MATHEMATICAL BIOSCIENCES (2008)

Article Physics, Multidisciplinary

Scale-free distribution of avian influenza outbreaks

Michael Small et al.

PHYSICAL REVIEW LETTERS (2007)

Article Biology

Honeybees perform optimal scale-free searching flights when attempting to locate a food source

Andrew M. Reynolds et al.

JOURNAL OF EXPERIMENTAL BIOLOGY (2007)

Article Physics, Fluids & Plasmas

Fluid limit of the continuous-time random walk with general Levy jump distribution functions

A. Cartea et al.

PHYSICAL REVIEW E (2007)

Article Ecology

Displaced honey bees perform optimal scale-free search flights

Andrew M. Reynolds et al.

ECOLOGY (2007)

Article Statistics & Probability

Tempering stable processes

Jan Rosinski

STOCHASTIC PROCESSES AND THEIR APPLICATIONS (2007)

Article Physics, Multidisciplinary

Fractional diffusion models of option prices in markets with jumps

Alvaro Cartea et al.

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS (2007)

Article Multidisciplinary Sciences

The scaling laws of human travel

D Brockmann et al.

NATURE (2006)

Article Biology

Modelling the dynamics of West Nile Virus

G Cruz-Pacheco et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2005)

Article Biology

A mathematical model for assessing control strategies against West Nile virus

C Bowman et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2005)

Article Physics, Multidisciplinary

Nondiffusive transport in plasma turbulence: A fractional diffusion approach

D del-Castillo-Negrete et al.

PHYSICAL REVIEW LETTERS (2005)

Article Physics, Fluids & Plasmas

Fractional diffusion in plasma turbulence

D del-Castillo-Negrete et al.

PHYSICS OF PLASMAS (2004)

Article Biology

Diseases of humans and their domestic mammals: pathogen characteristics, host range and the risk of emergence

S Cleaveland et al.

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES (2001)

Review Physics, Multidisciplinary

The random walk's guide to anomalous diffusion: a fractional dynamics approach

R Metzler et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2000)