This book is a collection of selected research articles discussing the analysis of infectious diseases by using mathematical modelling in recent times. Divided into two parts, the book gives a general and country-wise analysis of COVID-19. Analytical and numerical techniques for virus models are presented along with the application of mathematical modelling in the analysis of their spreading rates and treatments. The book also includes applications of fractional differential equations as well as ordinary, partial, and integrodifferential equations with optimization methods. Probability distribution and their biomathematical applications have also been studied. This book is a valuable resource for researchers, scholars, bio-mathematicians, and medical experts.
PART-1 GENERAL ANALYSIS: Arni S.R. Srinivasa Rao and Steven G.
Krantz:Mathematical Models for Understanding Social Distancing Measures:
General Setting and Analysis.- A. Lamrani Alaoui, M. Tilioua, M. R. Sidi and
P. Agarwal: Dynamical Analysis of a Caputo Fractional Order SIR Epidemic
Model with General Treatment Function.- Zalimkhan Nagoev, Viktor Narozhnov,
Arsen Pskhu, and Sergo Rekhviashvili: Protective Face Shield Effectiveness:
Mathematical Modelling.- Jonathan Blackledge: The Biodynamics Hypothesis and
its Applications for the Mathematical Modelling of Biological Growth and the
Analysis of Infectious Diseases.- Saratha Sathasivam, Teoh Poh Lin and Woon
Le Yu: Modelling the Dynamics of Fake News Spreading Transmission During
COVID-19 Through Social Media.- Renaud Di Francesco: Agent Based Model for
COVID-19 Active Propagation Through Interaction: Use Cases of Elderly Care
Homes, Households in Lockdown and Large Events.- Emmanuel Afolabi Bakare:
Analysis of Optimal Control AgainstAge-Structured Hepatitis-B Virus Model.-
Daniele Ritelli: Generalized Logistic Equations in COVID Epidemic Models.-
Mohd Aman and Bushra Miftah:Impact on the Transition of Shared Mobility in
Metro Cities in India: A Challenge Post-Lockdown of COVID-19.- Abdelmajid
Belafhal, S. Chib and Talha Usman: Analysis of COVID-19 Virus Spreading
Statistics by the Use of a New Modified Weibull Distribution.- Redouane Qesmi
and Aayah Hammoumi: From Finite to Infinite Dimensional Epidemic Models for
COVID-19: Lockdown and Lifting Control Measures.- Malú Grave, Rodrigo Bird
Burgos, Lisandro Lovisolo and Americo Cunha Jr: Data-Driven Graphical
Analysis of Epidemic Trends.- Hoang Anh Ngo, Thai Nam Hoang and Mehmet Dik:
Introduction to the Grey Systems Theory and Its Application in Mathematical
Modelling and Pandemic Prediction of COVID-19.- Mohammad Ali Akour and
Shikhar Kumar Sarma: Developing an Intelligent Health Report Generating
System.- Nasser Al-Salti, Ibrahim M. ELmojtaba, Maryam AlYahyai, Jaqueline
Mesquita and Dayse Pastore: Recent Developments in the Mathematical Modelling
and Analysis of Infectious Disease Problems (COVID-19).- Americo Cunha Jr,
Adriano Cortês, Roberto Velho and Rebecca E. Morrison: Uncertainty
Quantification in Epidemiological Compartmental Models.- Jorge Fernando
Camacho and Cruz Vargas-De-León: Conserved Quantities in Epidemic Systems for
the Spread of the Coronavirus Disease.- Rashmi Bhardwaj and Debabrata Datta:
Development of Epidemiological Modeling RD_COVID-19 of Coronavirus Infectious
Disease and its Numerical Simulation.- Anka Trajkovska Petkoska and Anita
Trajkovska: Mediterranean Diet for Boosting Immunity.- Jochen Merker:
Rate-Dependent Tipping Phenomena in Compartment Models of Epidemics.-
Olumuyiwa James Peter, Tolulope Latunde and Adejimi Adesola Adeniji:
Mathematical Modelling and Analysis for Prediction of COVID-19 Transmission
and Control.- Alexander Kreinin, Oleksandr Romanko, Rafael Mendoza, Hamed
Rasouli, and Curt Burmeister: Analysis of Impact of COVID-19 Pandemic on
Financial Markets.- Ferenc A. Bartha, Ferenc A. Bartha, Janos Karsai, Gergely
Rost and Tamas Tekeli: The Effects of Symptom-based Testing.- Altaf H. Khan:
Challenges in Modeling of an Outbreaks Prediction, Forecasting and Decision
Making for Policy Makers.- PART-2 COUNTRY-SPECIFIC ANALYSIS: Iván Area, Juan
J. Nieto, Cristiana J. Silva and Delfim F. M. Torres: Optimal Control of
COVID-19: A Case Study in Portugal.- Ludmila Kirianova, Temirkhan Aleroev and
Vladimir Griguletskiy: The Fractional Diffusion Equation as a Mathematical
Model of Morbidity and Mortality Rates in the Russian Federation.- Juan E.
Santos, Jose M. Carcione, Gabriela B. Savioli and Patricia M. Gauzellino: An
SEIR Epidemic Model of Fractional Order to Analyze the Evolution of the
COVID-19 Epidemic in Argentina.- Su Yean Teh and Hock Lye Koh: Modeling
Effectiveness of Partial Lockdown in Breaking COVID-19 Transmission Chain in
Malaysia.- G. Bhuju, G. R. Phaijoo and D. B. Gurung: Mathematical Analysis
of COVID-19 in Nepal.- Subhas Khajanchi, Kankan Sarkar and Sandip Banerjee:
Transmission Dynamics of the COVID-19 Outbreak and Implementation of
Intervention Strategies in India.- Alya Saif Al Shehhia, Abdessamad Tridanea,
Sabir Bin Muzaffarb and Gulfaraz Khan: Systematic Review of the Mathematical
Modeling of Coronaviruses in the Middle East.- Hasan Soyler: Dynamic
Simulation and Scenario Analysis of Spreading COVID-19 Pandemic in Turkey.
PRAVEEN AGARWAL is Associate Professor at the Department of Mathematics, Anand International College of Engineering, Jaipur, India. He completed his Ph.D. in Mathematics from the Malviya National Institute of Technology, Jaipur, India. His areas of research include special functions, fractional calculus, numerical analysis, differential and difference equations, inequalities, and fixed point theorems. He has authored 7 research monographs and edited volumes and over 150 research articles with approximately 100 mathematicians from around the world in prestigious national and international journals. He has delivered invited talks in universities and institutions around the world as well as guided various research students over the years. He is the recipient of the Most Outstanding Researcher (2018) award for his outstanding contribution to mathematics by the then Union Minister of Human Resource Development of India, Prakash Javadekar.
JUAN J. NIETO is Professor of MathematicalAnalysis at the University of Santiago de Compostela, Spain, since 1991 and a fellow of the Royal Galician Academy of Sciences. He received his Ph.D. in Mathematics from the University of Santiago de Compostela, Spain, in 1983. His most influential contributions to date are in the area of differential equations, and his research interests are in fractional calculus, fuzzy equations and epidemiological models. He is one of the most cited mathematicians in the world according to the Web of Knowledge and appears in the Thompson Reuters Highly Cited Researchers list. His works have been published in various journals and conference proceedings of repute.
MICHAEL RUZHANSKY is Senior Full Professor at the Department of Mathematics, Ghent University, Belgium, and Professor at the School of Mathematical Sciences, Queen Mary University of London, UK. He received his Ph.D. in Mathematics from Utrecht University, The Netherlands, in 1998, with the thesis titled Singular Fibrations with Affine Fibers, with Applications to the Regularity Properties of Fourier Integral Operators. He completed his M.Sc. in Mathematics and Education at St. Petersburg State University, Russia, in 1995, with the thesis titled Linear Optimal Filtering Theory with the Generalized Quadratic Quality Functional. He is a recipient of several awards, including Ferran Sunyer I Balaguer Prize (2018), Odysseus I Project (2018), Ferran Sunyer I Balaguer Prize (2014) and Daiwa Adrian Prize (2010).
DELFIM F. M. TORRES is Full Professor of Mathematics at the Department of Mathematics, the University of Aveiro (UA), Portugal. He received his Ph.D. in mathematics from the University of Aveiro, in 2002. He is also the Director of the FCT Doctoral Programme Consortium in Mathematics and Applications (MAP-PDMA) of the University of Minho, Portugal, and the University of Beira Interior, Portugal. His main research areas are calculus of variations and optimal control, optimization with emphasis on the regularity of solutions and necessary optimality conditions, fractional derivatives and integrals, dynamic equations on time scales or measure chains, and mathematical biology. He has published over 400 scientific and pedagogical publications, including research papers in reputed international journals, refereed conference proceedings, chapters in books, and books (as an author and editor). Having guided 18 Ph.D. Torres has a strong experience in graduate and postgraduate student supervision and teaching mathematics, both in Portugal and abroad. Moreover, he has led teams and has been a member of several national and international R&D projects, including EU projects and networks. He was a key scientist of the European Marie Curie Project SADCO (Sensitivity Analysis for Deterministic Controller Design), Network for Initial Training, under the 7th Framework Programme FP7-PEOPLE-2010-ITN.
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