Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative

[1]  Bisharat Rasool Memon,et al.  Assessing the role of quarantine and isolation as control strategies for COVID-19 outbreak: A case study , 2021, Chaos, Solitons & Fractals.

[2]  Kamal Shah,et al.  Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India , 2020, Results in Physics.

[3]  J. Nieto,et al.  Examining the correlation between the weather conditions and COVID-19 pandemic in India: A mathematical evidence , 2020, Results in Physics.

[4]  Mohammed S Abdo,et al.  Mathematical modeling for the outbreak of the coronavirus (COVID-19) under fractional nonlocal operator , 2020, Results in Physics.

[5]  Mohammed S Abdo,et al.  Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative , 2020, Results in Physics.

[6]  S. K. Panda.  Applying fixed point methods and fractional operators in the modelling of novel coronavirus 2019-nCoV/SARS-CoV-2 , 2020, Results in Physics.

[7]  Parvaiz Ahmad Naik,et al.  Modeling and analysis of COVID-19 epidemics with treatment in fractional derivatives using real data from Pakistan , 2020, The European Physical Journal Plus.

[8]  Ernestine Atangana,et al.  Facemasks simple but powerful weapons to protect against COVID-19 spread: Can they have sides effects? , 2020, Results in Physics.

[9]  M. Adeel,et al.  Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model , 2020, Advances in difference equations.

[10]  D. Baleanu,et al.  On modelling of epidemic childhood diseases with the Caputo-Fabrizio derivative by using the Laplace Adomian decomposition method , 2020 .

[11]  D. Baleanu,et al.  A fractional differential equation model for the COVID-19 transmission by using the Caputo–Fabrizio derivative , 2020, Advances in difference equations.

[12]  K. Shah,et al.  Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases , 2020, Discrete Dynamics in Nature and Society.

[13]  Manar A. Alqudah,et al.  Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative , 2020 .

[14]  Abdon Atangana,et al.  Modelling the spread of COVID-19 with new fractal-fractional operators: Can the lockdown save mankind before vaccination? , 2020, Chaos, Solitons & Fractals.

[15]  K. Shah,et al.  Qualitative Analysis of a Mathematical Model in the Time of COVID-19 , 2020, BioMed research international.

[16]  Kamal Shah,et al.  On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative , 2020, Chaos, Solitons & Fractals.

[17]  M. R. Ferrández,et al.  Mathematical modeling of the spread of the coronavirus disease 2019 (COVID-19) taking into account the undetected infections. The case of China , 2020, Communications in Nonlinear Science and Numerical Simulation.

[18]  Delfim F. M. Torres,et al.  Mathematical modeling of COVID-19 transmission dynamics with a case study of Wuhan , 2020, Chaos, Solitons & Fractals.

[19]  D. Brockmann,et al.  Effective containment explains subexponential growth in recent confirmed COVID-19 cases in China , 2020, Science.

[20]  Nita H. Shah,et al.  Control Strategies to Curtail Transmission of COVID-19 , 2020, medRxiv.

[21]  Abdon Atangana,et al.  Modeling the dynamics of novel coronavirus (2019-nCov) with fractional derivative , 2020, Alexandria Engineering Journal.

[22]  Thabet Abdeljawad,et al.  On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative , 2020 .

[23]  F. Piazza,et al.  Analysis and forecast of COVID-19 spreading in China, Italy and France , 2020, Chaos, Solitons & Fractals.

[24]  Chen Zhou,et al.  Mathematical Modeling and Epidemic Prediction of Covid-19 and Its Significance to Epidemic Prevention and Control Measures , 2020, Journal of Surgical Case Reports and Images.

[25]  Yongli Cai,et al.  A conceptual model for the coronavirus disease 2019 (COVID-19) outbreak in Wuhan, China with individual reaction and governmental action , 2020, International Journal of Infectious Diseases.

[26]  Tian-mu Chen,et al.  A mathematical model for simulating the phase-based transmissibility of a novel coronavirus , 2020, Infectious Diseases of Poverty.

[27]  A. Trilla,et al.  One world, one health: The novel coronavirus COVID-19 epidemic☆ , 2020, Medicina Clínica (English Edition).

[28]  A. Trilla.  One world, one health: The novel coronavirus COVID-19 epidemic. , 2020, Medicina clinica.

[29]  N. Linton,et al.  Real-Time Estimation of the Risk of Death from Novel Coronavirus (COVID-19) Infection: Inference Using Exported Cases , 2020, Journal of clinical medicine.

[30]  Devendra Kumar,et al.  An efficient numerical scheme for fractional model of HIV-1 infection of CD4+ T-cells with the effect of antiviral drug therapy , 2020 .

[31]  Fathalla A. Rihan,et al.  A fractional-order epidemic model with time-delay and nonlinear incidence rate , 2019, Chaos, Solitons & Fractals.

[32]  M. Khan,et al.  Modeling the dynamics of hepatitis E via the Caputo–Fabrizio derivative , 2019, Mathematical Modelling of Natural Phenomena.

[33]  E. Bas,et al.  Fractional models with singular and non-singular kernels for energy efficient buildings. , 2019, Chaos.

[34]  Thabet Abdeljawad,et al.  Fractional logistic models in the frame of fractional operators generated by conformable derivatives , 2019, Chaos, Solitons & Fractals.

[35]  Gul Zaman,et al.  Prevention Strategies for Mathematical Model MERS-Corona Virus with Stability Analysis and Optimal Control , 2019 .

[36]  Ilknur Koca,et al.  Analysis of rubella disease model with non-local and non-singular fractional derivatives , 2017 .

[37]  A. Vatsala,et al.  Picard’s Iterative Method for Caputo Fractional Differential Equations with Numerical Results , 2017 .

[38]  Dumitru Baleanu,et al.  Caputo-Fabrizio Derivative Applied to Groundwater Flow within Confined Aquifer , 2017 .

[39]  Chaeshin Chu,et al.  The Characteristics of Middle Eastern Respiratory Syndrome Coronavirus Transmission Dynamics in South Korea , 2016, Osong Public Health and Research Perspectives.

[40]  Boping Zhou,et al.  MERS, SARS, and Ebola: The Role of Super-Spreaders in Infectious Disease , 2015, Cell Host & Microbe.

[41]  Badr Saad T. Alkahtani,et al.  Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel , 2015, Entropy.

[42]  S. Arabia,et al.  Properties of a New Fractional Derivative without Singular Kernel , 2015 .

[43]  A. Arafa,et al.  SOLUTION OF THE FRACTIONAL EPIDEMIC MODEL BY L-ADM , 2015 .

[44]  M. Caputo,et al.  A new Definition of Fractional Derivative without Singular Kernel , 2015 .

[45]  Gerardo Chowell,et al.  Synthesizing data and models for the spread of MERS-CoV, 2013: Key role of index cases and hospital transmission , 2014, Epidemics.

[46]  M. Noorani,et al.  SEIR MODEL FOR TRANSMISSION OF DENGUE FEVER IN SELANGOR MALAYSIA , 2012 .

[47]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[48]  J. Kahn,et al.  History and Recent Advances in Coronavirus Discovery , 2005, The Pediatric infectious disease journal.

[49]  J. Watmough,et al.  Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. , 2002, Mathematical biosciences.

[50]  C. Castillo-Chavez,et al.  A model for tuberculosis with exogenous reinfection. , 2000, Theoretical population biology.