Fractal Signatures in the Dynamics of an Epidemiology: An Analysis of COVID-19 Transmission

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Santo Banerjee (Politecnico di Torino, Italy) A. Gowrisankar (Vellore Institute of Technology, India)

Fractal Signatures in the Dynamics of an Epidemiology

An Analysis of COVID-19 Transmission

Santo Banerjee (Politecnico di Torino, Italy), A. Gowrisankar (Vellore Institute of Technology, India)

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English

CRC Press
06 May 2025

Epidemiology & medical statistics; Infectious & contagious diseases; Mathematical modelling; Physics; Biology, life sciences

The recent COVID-19 pandemic threw the world into complete chaos with its rapid and devastating spread. Scientists are still trying to obtain a better understanding of the patterns of COVID-19 and trying to get a deeper understanding of mutant strains and their pathogenicity by performing genomic sequences of more samples. Fractal-based analysis provides its unique forecasting policy to reduce the spread of COVID-19, and in general, of any outbreaks.

The book presents fractal and multifractal models of COVID-19 and reviews the impact of the pandemic including epidemiology, genome organization, transmission cycle, and control strategies based on mathematical models towards developing an immune intervention. Also, it covers non-clinical aspects such as economic development with graphical illustrations, meeting the needs of onlookers outside the sector who desire additional information on the epidemic. The fractal signatures describe the fractal textures in the patterns of Coronavirus. Studies on the epidemiology of COVID-19 in relation with the fractals and fractal functions serve to exhibit its irregular chaotic nature. Moreover, the book with its wide coverage on the Hurst exponent analysis and the fractal dimension estimation, greatly aids in measuring the epidemiology.

Edited by: Santo Banerjee (Politecnico di Torino Italy), A. Gowrisankar (Vellore Institute of Technology, India)
Imprint: CRC Press
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 380g
ISBN: 9781032327761
ISBN 10: 1032327766
Pages: 196
Publication Date: 06 May 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Paperback
Publisher's Status: Forthcoming

Analysis of the Current, Past, and Future Evolution of COVID-19. A Fractal Viewpoint to Covid-19 Infection. Design of Covid-19 Fractal Antenna Array for 5G and mm-WAVE Wireless Application. Design of Fractal COVID-19 Microstrip Patch Antenna Array for Wireless Applications. Fluctuation Analysis Through Multifractals for the Pathogenesis of SARS-CoV-2 akanCoV-19 Community Spread in USA. Multifractal Detrended Fluctuation Analysis on COVID-19 Dynamics. An Integrated Perspective of Fractal Time Series Analysis for Infected Cases of COVID-19. A Mathematical Model for COVID-19 Pandemic with the Impact of Economic Development. Growth Analysis of Covid-19 Cases Using Fractal Interpolation. Classification of COVID-19 Time Series Through Hurst Exponent and Fractal Dimension. A Study on the Variants and Subvariants of a Solitary Virus. Mathematical Modelling of Multicellular Tumor Spheroid Growth Using Lambert Function.

Santo Banerjee is associated with the Department of Mathematical Sciences, Polytechnic Torino, Torino, Italy. Earlier, he was an Associate Professor in the Institute for Mathematical Research, UPM, Malaysia till 2020, and was also a founder member of the Malaysia-Italy Centre of Excellence in Mathematical Science, UPM, Malaysia. His research mainly covers Nonlinear Dynamics, Chaos, Complexity and Secure Communication. He is a Managing Editor of EPJ Plus (Springer). A. Gowrisankar received his Master’s (2012) and PhD (2017) degrees in Mathematics from the Gandhigram Rural Institute (Deemed to be University), Tamil Nadu, India. Further, he got institute postdoctoral fellowship from Indian Institute of Technology Guwahati, India. At present, he is an Assistant Professor in the Department of Mathematics, Vellore Institute of Technology, Vellore, India. His broad area of research includes fractal analysis, image processing and fractional calculus of fractal functions.