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Mathematical model of Ebola and Covid-19 with fractional differential operators: Non-Markovian process and class for virus pathogen in the environment.
Zhang, Zizhen; Jain, Sonal.
  • Zhang Z; School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, 233030, China.
  • Jain S; Department of Humanity and Sciences, Rizvi College of Engineering, Bandra West, Mumbai, Maharashtra, 400050, India.
Chaos Solitons Fractals ; 140: 110175, 2020 Nov.
Article in English | MEDLINE | ID: covidwho-679706
ABSTRACT
Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In particular the power law kernel helps include into mathematical formulation the effect of long range, while the exponential decay helps with fading memory, also with Poisson distribution properties that lead to a transitive behavior from Gaussian to non-Gaussian phases respectively, however, with steady state in time and finally the generalized Mittag-Leffler helps with many features including the queen properties, transitive behaviors, random walk for earlier time and power law for later time. Very recently both Ebola and Covid-19 have been a great worry around the globe, thus scholars have focused their energies in modeling the behavior of such fatal diseases. In this paper, we used new trend of fractional differential and integral operators to model the spread of Ebola and Covid-19.
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Full text: Available Collection: International databases Database: MEDLINE Type of study: Randomized controlled trials Language: English Journal: Chaos Solitons Fractals Year: 2020 Document Type: Article Affiliation country: J.chaos.2020.110175

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Full text: Available Collection: International databases Database: MEDLINE Type of study: Randomized controlled trials Language: English Journal: Chaos Solitons Fractals Year: 2020 Document Type: Article Affiliation country: J.chaos.2020.110175