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E-raamat: Mathematical Modeling and Soft Computing in Epidemiology

Edited by (Gyan Ganga Institute of Technology and Sciences), Edited by (University of the Free State), Edited by (Malaviya National Institute of Technology)
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"This book describes the use of different mathematical modeling and soft computing techniques used in epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contributeto public health interventions"--

This book describes the uses of different mathematical modeling and soft computing techniques used in epidemiology for experiential research in projects such as how infectious diseases progress to show the likely outcome of an epidemic, and to contribute to public health interventions.

This book covers mathematical modeling and soft computing techniques used to study the spread of diseases, predict the future course of an outbreak, and evaluate epidemic control strategies. This book explores the applications covering numerical and analytical solutions, presents basic and advanced concepts for beginners and industry professionals, and incorporates the latest methodologies and challenges using mathematical modeling and soft computing techniques in epidemiology.

Primary users of this book include researchers, academicians, postgraduate students, and specialists.

Dr. Jyoti Mishra

is currently an Assistant Professor at Department of Mathematics, Gyan Ganga Institute of Technology and Sciences, Jabalpur. She is a qualified individual with around 10 years of expertise in teaching, R&D with specialization in Mathematics. She completed BSc, MSc and BEd. She received her PhD degree in special function from APS University, Rewa, India. Her research interests include special function, fractional calculus, partial differential equations, and mathematical modeling. She has been a part of various seminars, paper presentations, research paper reviews, conferences as co-convener, Member of Organizing Committee, Member of Advisory Committee, Member of Technical Committee, and contribution in organizing INSPIRE Science Internship Camp. She has published more than 25 research papers in reputed journals and authored three books. She has been actively involved in professional bodies Indian Mathematical Society, IAPS, and FATER. She is a reviewer in many SCI journals, IEEE international conferences, CSNT-2015, CICN-2016, CICN2017, INDIACom-2019, ICICC-CONF 2019, and many more. She has published 05 patents in Intellectual Property, India.

Dr. Ritu Agarwal

has done PhD, MPhil, MSc, and JRF-NET. She is an Assistant Professor of mathematics in Malaviya National Institute of Technology, Jaipur. She has15 years of teaching and research experience. Her areas of research include biocomplex analysis, geometric function theory, mathematical modeling, and fractional calculus. She has published 45 research papers in journals of repute. Under her guidance, two PhDs have been completed. She has awarded a research project by NBHM. She attended 12 international conferences. She has organized various events like short-term courses, FDP, and national- and international-level conferences. She has been actively involved with professional bodies Indian Mathematical Society, IAENG, ISTE, ISCA, FIM, IACSIT, RMS, SSFA, VIJNANA, Gwalior Academy of Sciences, TIMC, and IEEE. She has 11 text books for BE/BTech to her credit and has supervised approximately 20 MSc dissertations.

Dr. Abdon Atangana

received PhD degree from University of the Free State, South Africa. He is a Professor of Applied Mathematics Institute for Groundwater Studies, University of the Free State. He has awarded the youngest leading international researcher in fractional calculus in 2019, Obada Award 2018, African Academic of Science, Affiliate 2018–2022 most cited mathematics paper in the world 2017, and

African Award of applied Mathematics 2017. He is the number 1 top overall contributor to the peer review of the field of mathematics. The sentinel of science awards honor the elite contributors to scholar peer review and editorial pursuits internationally. Recipients have demonstrated an outstanding expert commitment to protecting the integrity and accuracy of published research in their field in 2017. He has received many best researcher awards in different universities. In the field of applied mathematics, he has introduced more than 15 mathematical operators and numerical schemes that are nowadays used in all fields of science, technology, and engineering. He has published approximately 250 SCI papers in different reputed journals, and H-index is 36 and citation is 5148.

Preface ix
Editors xv
Contributors xvii
Chapter 1 Evolutionary Modeling of Dengue Fever with Incubation Period of Virus
1(18)
Javaid All
Muhammad Bilal Riaz
Abdon Atangana
Muhammad Saeed
Chapter 2 Fuzzy-Genetic Approach to Epidemiology
19(16)
Minakshi Biswas Hathiwala
Jignesh Pravin Chauhan
Gautam Suresh Hathiwala
Chapter 3 Role of Mathematical Models in Physiology and Pathology
35(18)
Saktipada Nanda
Biswadip Basu Mallik
Chapter 4 Machine-Learned Regression Assessment of the HIV Epidemiological Development in Asian Region
53(28)
Rashmi Bhardwaj
Aashima Bangia
Chapter 5 Mathematical Modeling to Find the Potential Number of Ways to Distribute Certain Things to Certain Places in Medical Field
81(26)
G. Mahadevan
S. Anuthiya
M. Vimala Suganthi
Chapter 6 Fractional SIRI Model with Delay in Context of the Generalized Liouville-Caputo Fractional Derivative
107(20)
Ndolane Sene
Chapter 7 Optimal Control of a Nipah Virus Transmission Model
127(20)
Prabir Panja
Ranjan Kumar Jana
Chapter 8 Application of Eternal Domination in Epidemiology
147(26)
G. Mahadevan
T. Ponnuchamy
Selvam Avadayappan
Jyoti Mishra
Chapter 9 Numerical Analysis of Coupled Time-Fractional Differential Equations Arising in Epidemiological Models
173(26)
Manish Goyal
Amit Prakash
Shivangi Gupta
Chapter 10 Balancing of Nitrogen Mass Cycle for Healthy Living Using Mathematical Model
199(18)
Suresh Rasappan
Kala Raja Mohan
Chapter 11 Neutralizing of Nitrogen when the Changes of Nitrogen Content Is Rapid
217(14)
Suresh Rasappan
Kala Raja Mohan
Chapter 12 Application of Blockchain Technology in Hospital Information System
231(16)
Deepa Elangovan
Chiau Soon Long
Faizah Safina Bakrin
Ching Siang Tan
Khang Wen Goh
Zahid Hussain
Yaser Mohammed Al-Worafi
Kah Seng Lee
Yaman Walid Kassab
Long Chiau Ming
Chapter 13 Complexity Analysis of Pathogenesis of Coronavirus Epidemiological Spread in the China Region
247(26)
Rashmi Bhardwaj
Aashima Bangia
Jyoti Mishra
Chapter 14 A Mathematical Fractional Model to Study the Hepatitis B Virus Infection
273(18)
Ritu Agarwal
Kritika
S. D. Purohit
Jyoti Mishra
Chapter 15 Nonlinear Dynamics of SARS-CoV2 Virus: India and Its Government Policy
291(12)
Aditya Mani Mishra
Ritu Agarwal
Sunil Dutt Purohit
Kamlesh Jangid
Chapter 16 Ethical and Professional Issues in Epidemiology
303(14)
Manoj Dubey
Ramakant Bhardwaj
Jyoti Mishra
Chapter 17 Cloud Virtual Image Security for Medical Data Processing
317(30)
Shiv Kumar Tiwari
Deepak Singh Rajput
Saurabh Sharma
Subhrendu Guha Neogi
Ashish Mishra
Chapter 18 Medical Data Security Using Blockchain and Machine Learning in Cloud Computing
347(28)
Deepak Singh Rajput
Saurabh Sharma
Shiv Kumar Tiwari
A.K. Upadhyay
Ashish Mishra
Chapter 19 Mathematical Model to Avoid Delay Wound Healing by Infinite Element Method
375(16)
Manisha Jain
Pankaj Kumar Mishra
Ramakant Bhardwaj
Jyoti Mishra
Chapter 20 Data Classification Framework for Medical Data through Machine Learning Techniques in Cloud Computing
391(26)
Saurabh Sharma
Harish K. Shakya
Ashish Mishra
Index 417
Dr. Jyoti Mishra is currently an Assistant Professor at Dept.of Mathematics, Gyan Ganga Institute of Technology and Sciences, Jabalpur. She is a qualified individual with around 10 years of expertise in Teaching, R&D with specialization in Mathematics. She is B.Sc., M.Sc &,B.Ed She received her Ph.D. degree in Special function from APS University, Rewa, India. Her research interests include Special function. Fractional Calculus, Partial differential Equations, special function, Mathematical Modeling. Been a part of various seminars, paper presentations, research paper reviews, conferences as co-convener, Member of Organizing Committee, Member of Advisory Committee, Member of Technical Committee and contribution in organizing INSPIRE Science Internship Camp. She has published more than 25 research papers in reputed journals and authored 3 books. She has been actively involved in professional bodies Indian Mathematical Society, IAPS, FATER. She is reviewer in many sci journals, IEEE international conferences, CSNT-2015, CICN-2016, CICN2017, INDIACom-2019, ICICC-CONF 2019 and many more. She is published 05 patents in Intellectual Property, India.

Dr Ritu Agarwal has done Ph.D., M. phil, M Sc, JRF-NET. She is Assistant Professor of mathematics in Malaviya National Institute of Technology, Jaipur. She is having 15 years of teaching and research experience. Her areas of research include Biocomplex analysis, Geometric function theory, mathematical modelling and fractional calculus. She has published 45 research papers in journals of repute. Under her guidance 2 Ph.D. completed. Awarded a research project by NBHM. Attended 12 international conference. She has organized various events like short-term courses, FDP, Conferences of national and international level. She has been actively involved with professional bodies Indian Mathematical Society, IAENG, ISTE, ISCA, FIM, IACSIT, RMS, SSFA, VIJNANA, Gwalior Academy of Sciences, TIMC, IEEE. She has 11 text books for BE/B. Tech to her credit and has supervised approx 20 M.sc. dissertations.

Dr. Abdon Atangana received Ph.D degree from University of free state South Africa. He is Prof. of applied mathematics Institute for Groundwater Studies,University of the Free State. He has Awarded of the youngest leading international researcher in fractional Calculus intheyear2019 ,Obada award 2018, African Academic of Science, Affiliate 2018-2022Most cited mathematics paper in the world ,2017,African Award of applied Mathematics 2017. He isthe number 1 top overall contributor to the peer review of the field of mathematics. The sentinel of science awards honoring the elite contributors to scholar peer review and editorial pursuits internationally. Recipients have demonstrated an outstanding expert commitment to protecting the integrity and accuracy of published research in their field in the year 2017 .He has received many best researcher award in different university .In the field of Applied Mathematics he has introduced the more than fifteen mathematical operators and numerical schemes that nowadays used in all fields of science, technology and engineering. He published approx 250 sci papers in different reputed journals and H- index 36, citation is 5148.