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Prediction studies of the epidemic peak of coronavirus disease in Japan: From Caputo derivatives to Atangana-Baleanu derivatives
(World Scientific, 2021-09-30)
New atypical pneumonia caused by a virus called Coronavirus (COVID-19) appeared in Wuhan, China in December 2019. Unlike previous epidemics due to the severe acute respiratory syndrome (SARS) and the Middle East respiratory ...
A Study on the 3D Hopfield Neural Network Model via Nonlocal Atangana-Baleanu Operators
(Hindawi Limited, 2022-07-07)
Hopfield neural network (HNN) is considered as an artificial model derived from the brain structures and it is an important model that admits an adequate performance in neurocomputing. In this article, we solve a dynamical ...
Generalized forms of fractional Euler and Runge-Kutta methods using non-uniform grid
(Walter de Gruyter GmbH, 2022-07-07)
In this article, we propose generalized forms of three well-known fractional numerical methods namely Euler, Runge-Kutta 2-step, and Runge-Kutta 4-step, respectively. The new versions we provide of these methods are derived ...
The analysis of a time delay fractional COVID-19 model via Caputo type fractional derivative
(John Wiley and Sons Ltd, 2020-10-16)
Novel coronavirus (COVID-19), a global threat whose source is not correctly yet known, was firstly recognised in the city of Wuhan, China, in December 2019. Now, this disease has been spread out to many countries in all ...
A malaria model with Caputo-Fabrizio and Atangana-Baleanu derivatives
(World Scientific, 2020-11-02)
In this paper, we study two fractional models in the Caputo-Fabrizio sense and Atangana-Baleanu sense, in which the effects of malaria infection on mosquito biting behavior and attractiveness of humans are considered. Using ...
Mathematical structure of mosaic disease using microbial biostimulants via Caputo and Atangana�Baleanu derivatives
(Elsevier B.V., 2021-04-21)
In this research collection, we analysed two different fractional non-linear mathematical models of a well-known mosaic epidemic of plants, which is underlying by begomoviruses and is distributed to plants by whitefly. We ...
A study on canine distemper virus (CDV) and rabies epidemics in the red fox population via fractional derivatives
(Elsevier B.V., 2021-05-05)
Several deadly epidemics that have recognized as serious problems all over the world in the last few decades. Lassa hemorrhagic fever, coronavirus, dengue fever, malaria, and HIV are well-known deadly diseases in humans. ...
A new fractional mathematical modelling of COVID-19 with the availability of vaccine
(Elsevier B.V., 2021-04-21)
The most dangerous disease of this decade novel coronavirus or COVID-19 is yet not over. The whole world is facing this threat and trying to stand together to defeat this pandemic. Many countries have defeated this virus ...
Fractional dynamics of huanglongbing transmission within a citrus tree
(John Wiley and Sons Ltd, 2021-05-18)
The citrus epidemic huanglongbing (HLB), allied with an uncultured bacterial pathogen, is blusterous the industry of citrus worldwide. In this research work, we analysed a fractional huanglongbing model to study the ...
Dynamics of cholera disease by using two recent fractional numerical methods
(Mehmet Yavuz, 2021-12-22)
In this paper, we simulate an epidemic model of cholera disease in the sense of generalized Liouville-Caputo fractional derivative. We provide the results related to the existence of a unique solution by using some well-known ...