To study the transmission dynamic of SARS-CoV-2 using nonlinear saturated incidence rate

A SIR-type model describing the successive waves of COVID-19

(2021) Gustavo A. Muñoz-Fernández et al.   CHAOS SOLITONS & FRACTALS

COVID ‐19: vaccination problems

(2021) Harald Brüssow   ENVIRONMENTAL MICROBIOLOGY

On nonlinear classical and fractional order dynamical system addressing COVID-19

(2021) Kamal Shah et al.   Results in Physics

Dynamics of an SIR-Based COVID-19 Model With Linear Incidence Rate, Nonlinear Removal Rate, and Public Awareness

(2021) Abdelhamid Ajbar et al.   Frontiers in Physics

A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system

(2021) Dumitru Baleanu et al.   Advances in Difference Equations

A proposed modified SEIQR epidemic model to analyze the COVID-19 spreading in Saudi Arabia

(2021) Hamdy M. Youssef et al.   Alexandria Engineering Journal

Preliminary estimation of the basic reproduction number of novel coronavirus (2019-nCoV) in China, from 2019 to 2020: A data-driven analysis in the early phase of the outbreak

(2020) Shi Zhao et al.   INTERNATIONAL JOURNAL OF INFECTIOUS DISEASES

Pneumonia of unknown aetiology in Wuhan, China: potential for international spread via commercial air travel

(2020) Isaac I Bogoch et al.   JOURNAL OF TRAVEL MEDICINE

Nowcasting and forecasting the potential domestic and international spread of the 2019-nCoV outbreak originating in Wuhan, China: a modelling study

(2020) Joseph T Wu et al.   LANCET

A pneumonia outbreak associated with a new coronavirus of probable bat origin

(2020) Peng Zhou et al.   NATURE

Early Transmission Dynamics in Wuhan, China, of Novel Coronavirus–Infected Pneumonia

(2020) Qun Li et al.   NEW ENGLAND JOURNAL OF MEDICINE

Estimating the Unreported Number of Novel Coronavirus (2019-nCoV) Cases in China in the First Half of January 2020: A Data-Driven Modelling Analysis of the Early Outbreak

(2020) Shi Zhao et al.   Journal of Clinical Medicine

Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative

(2020) Muhammad Altaf Khan et al.   Alexandria Engineering Journal

Stability of a fractional order SEIR model with general incidence

(2020) Yu Yang et al.   APPLIED MATHEMATICS LETTERS

Modeling and forecasting of epidemic spreading: The case of Covid-19 and beyond

(2020) Stefano Boccaletti et al.   CHAOS SOLITONS & FRACTALS

The dynamics of COVID-19 with quarantined and isolation

(2020) Muhammad Altaf Khan et al.   Advances in Difference Equations

On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate

(2020) Ebrahem A. Algehyne et al.   Alexandria Engineering Journal

A modified SEIR model applied to the data of COVID-19 spread in Saudi Arabia

(2020) Hamdy M. Youssef et al.   AIP Advances

Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative

(2020) Sabri T.M. Thabet et al.   Results in Physics

Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects?

(2020) Ernestine Atangana et al.   Results in Physics

Host vector dynamics of pine wilt disease model with convex incidence rate

(2018) Ghaus ur Rahman et al.   CHAOS SOLITONS & FRACTALS

Nonstandard finite difference scheme for a diffusive within-host virus dynamics model with both virus-to-cell and cell-to-cell transmissions

(2016) Yu Yang et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Non standard finite difference scheme preserving dynamical properties

(2016) Jacky Cresson et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Construction of nonstandard finite difference schemes for the SI and SIR epidemic models of fractional order

(2016) Abraham J. Arenas et al.   MATHEMATICS AND COMPUTERS IN SIMULATION

A model of lung parenchyma stress relaxation using fractional viscoelasticity

(2015) Zoujun Dai et al.   MEDICAL ENGINEERING & PHYSICS

Non-linear problems of fractional calculus in modeling of mechanical systems

(2013) Wiesław Grzesikiewicz et al.   INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES

Dynamically consistent nonstandard finite difference schemes for epidemiological models

(2013) R. Anguelov et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Experimental validation of a fractional model for creep/recovery testing of asphalt mixtures

(2012) C. Celauro et al.   CONSTRUCTION AND BUILDING MATERIALS

An historical perspective on fractional calculus in linear viscoelasticity

(2012) Francesco Mainardi   Fractional Calculus and Applied Analysis

Novel techniques in parameter estimation for fractional dynamical models arising from biological systems

(2011) F. Liu et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Recent history of fractional calculus

(2010) J. Tenreiro Machado et al.   Communications in Nonlinear Science and Numerical Simulation

Topological dynamic consistency of non-standard finite difference schemes for dynamical systems

(2010) R. Anguelov et al.   JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS

Dynamic analysis of frames with viscoelastic dampers modelled by rheological models with fractionalderivatives

(2010) Roman Lewandowski et al.   JOURNAL OF SOUND AND VIBRATION

Fractional calculus in viscoelasticity: An experimental study

(2009) F.C. Meral et al.   Communications in Nonlinear Science and Numerical Simulation

Fractional calculus models of complex dynamics in biological tissues

(2009) Richard L. Magin   COMPUTERS & MATHEMATICS WITH APPLICATIONS