Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic

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Publisher : Springer Nature
ISBN 13 : 3658359323
Total Pages : 260 pages
Book Rating : 4.6/5 (583 download)

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Book Synopsis Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic by : Sarah Marie Treibert

Download or read book Mathematical Modelling and Nonstandard Schemes for the Corona Virus Pandemic written by Sarah Marie Treibert and published by Springer Nature. This book was released on 2021-12-11 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the prediction of possible future scenarios concerning the COVID-19 pandemic. Based on the well-known SIR model by Kermack and McKendrick a compartment model is established. This model comprises its own assumptions, transition rates and transmission dynamics, as well as a corresponding system of ordinary differential equations. Making use of numerical methods and a nonstandard-finite-difference scheme, two submodels are implemented in Matlab in order to make parameter estimations and compare different scenarios with each other.

COVID-19 Epidemiology and Virus Dynamics

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Publisher : Springer Nature
ISBN 13 : 3030971783
Total Pages : 367 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis COVID-19 Epidemiology and Virus Dynamics by : Till D. Frank

Download or read book COVID-19 Epidemiology and Virus Dynamics written by Till D. Frank and published by Springer Nature. This book was released on 2022-03-30 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the COVID-19 pandemic from a quantitative perspective based on mathematical models and methods largely used in nonlinear physics. It aims to study COVID-19 epidemics in countries and SARS-CoV-2 infections in individuals from the nonlinear physics perspective and to model explicitly COVID-19 data observed in countries and virus load data observed in COVID-19 patients. The first part of this book provides a short technical introduction into amplitude spaces given by eigenvalues, eigenvectors, and amplitudes.In the second part of the book, mathematical models of epidemiology are introduced such as the SIR and SEIR models and applied to describe COVID-19 epidemics in various countries around the world. In the third part of the book, virus dynamics models are considered and applied to infections in COVID-19 patients. This book is written for researchers, modellers, and graduate students in physics and medicine, epidemiology and virology, biology, applied mathematics, and computer sciences. This book identifies the relevant mechanisms behind past COVID-19 outbreaks and in doing so can help efforts to stop future COVID-19 outbreaks and other epidemic outbreaks. Likewise, this book points out the physics underlying SARS-CoV-2 infections in patients and in doing so supports a physics perspective to address human immune reactions to SARS-CoV-2 infections and similar virus infections.

Mathematical modelling of the pandemic of 2019 novel coronavirus (COVID-19): Patterns, Dynamics, Prediction, and Control

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Author :
Publisher : Frontiers Media SA
ISBN 13 : 2889713865
Total Pages : 308 pages
Book Rating : 4.8/5 (897 download)

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Book Synopsis Mathematical modelling of the pandemic of 2019 novel coronavirus (COVID-19): Patterns, Dynamics, Prediction, and Control by : Hui-Jia Li

Download or read book Mathematical modelling of the pandemic of 2019 novel coronavirus (COVID-19): Patterns, Dynamics, Prediction, and Control written by Hui-Jia Li and published by Frontiers Media SA. This book was released on 2021-09-27 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

COVID-19 Pandemic Dynamics

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Publisher : Springer Nature
ISBN 13 : 9813364165
Total Pages : 172 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis COVID-19 Pandemic Dynamics by : Igor Nesteruk

Download or read book COVID-19 Pandemic Dynamics written by Igor Nesteruk and published by Springer Nature. This book was released on 2021-02-10 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the estimate of epidemic characteristics for different countries/regions in the world with the use of known SIR (susceptible-infected-removed) model for the dynamics of the epidemic, the known exact solution of the linear differential equations and statistical approach developed before. The COVID-19 pandemic is of great interest to researchers due to its high mortality and a negative impact to the world economy. Correct simulation of the pandemic dynamics needs complicated mathematical models and many efforts for unknown parameters identification. The simple method of detection of the new pandemic wave is proposed and SIR model generalized. The hidden periods, epidemic durations, final numbers of cases, the effective reproduction numbers and probabilities of meeting an infected person are presented for countries like USA, Germany, UK, the Republic of Korea, Italy, Spain, France, the Republic of Moldova, Ukraine, and for the world. The presented information is useful to regulate the quarantine activities and to predict the medical and economic consequences of different/future pandemics.

Mathematical and Computational Modelling of Covid-19 Transmission

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Author :
Publisher : CRC Press
ISBN 13 : 1003807127
Total Pages : 337 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Mathematical and Computational Modelling of Covid-19 Transmission by : Mandeep Mittal

Download or read book Mathematical and Computational Modelling of Covid-19 Transmission written by Mandeep Mittal and published by CRC Press. This book was released on 2023-12-07 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infectious diseases are leading threats and are of highest risk to the human population globally. Over the last two years, we saw the transmission of Covid-19. Millions of people died or were forced to live with a disability. Mathematical models are effective tools that enable analysis of relevant information, simulate the related process and evaluate beneficial results. They can help to make rational decisions to lead toward a healthy society. Formulation of mathematical models for a pollution-free environment is also very important for society. To determine the system which can be modelled, we need to formulate the basic context of the model underlying some necessary assumptions. This describes our beliefs in terms of the mathematical language of how the world functions. This book addresses issues during the Covid phase and post-Covid phase. It analyzes transmission, impact of coinfections, and vaccination as a control or to decrease the intensity of infection. It also talks about the violence and unemployment problems occurring during the post-Covid period. This book will help societal stakeholders to resume normality slowly and steadily.

Mathematical Analysis for Transmission of COVID-19

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Publisher : Springer Nature
ISBN 13 : 9813362642
Total Pages : 366 pages
Book Rating : 4.8/5 (133 download)

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Book Synopsis Mathematical Analysis for Transmission of COVID-19 by : Nita H. Shah

Download or read book Mathematical Analysis for Transmission of COVID-19 written by Nita H. Shah and published by Springer Nature. This book was released on 2021-04-01 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes various mathematical models that can be used to better understand the spread of novel Coronavirus Disease 2019 (COVID-19) and help to fight against various challenges that have been developed due to COVID-19. The book presents a statistical analysis of the data related to the COVID-19 outbreak, especially the infection speed, death and fatality rates in major countries and some states of India like Gujarat, Maharashtra, Madhya Pradesh and Delhi. Each chapter with distinctive mathematical model also has numerical results to support the efficacy of these models. Each model described in this book provides its unique prediction policy to reduce the spread of COVID-19. This book is beneficial for practitioners, educators, researchers and policymakers handling the crisis of COVID-19 pandemic.

Mathematical Modeling in the Age of the Pandemic

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Publisher : CRC Press
ISBN 13 : 1000395022
Total Pages : 174 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Mathematical Modeling in the Age of the Pandemic by : William P. Fox

Download or read book Mathematical Modeling in the Age of the Pandemic written by William P. Fox and published by CRC Press. This book was released on 2021-06-09 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: One cannot watch or read about the news these days without hearing about the models for COVID-19 or the testing that must occur to approve vaccines or treatments for the disease. The purpose of Mathematical Modeling in the Age of a Pandemic is to shed some light on the meaning and interpretations of many of the types of models that are or might be used in the presentation of analysis. Understanding the concepts presented is essential in the entire modeling process of a pandemic. From the virus itself and its infectious rates and deaths rates to explain the process for testing a vaccine or eventually a cure, the author builds, presents, and shows model testing. This book is an attempt, based on available data, to add some validity to the models developed and used, showing how close to reality the models are to predicting "results" from previous pandemics such as the Spanish flu in 1918 and more recently the Hong Kong flu. Then the author applies those same models to Italy, New York City, and the United States as a whole. Modeling is a process. It is essential to understand that there are many assumptions that go into the modeling of each type of model. The assumptions influence the interpretation of the results. Regardless of the modeling approach the results generally indicate approximately the same results. This book reveals how these interesting results are obtained.

Mathematical Modeling and Intelligent Control for Combating Pandemics

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Publisher : Springer Nature
ISBN 13 : 3031331834
Total Pages : 278 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Mathematical Modeling and Intelligent Control for Combating Pandemics by : Zakia Hammouch

Download or read book Mathematical Modeling and Intelligent Control for Combating Pandemics written by Zakia Hammouch and published by Springer Nature. This book was released on 2023-09-11 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The contributions in this carefully curated volume, present cutting-edge research in applied mathematical modeling for combating COVID-19 and other potential pandemics. Mathematical modeling and intelligent control have emerged as powerful computational models and have shown significant success in combating any pandemic. These models can be used to understand how COVID-19 or other pandemics can spread, analyze data on the incidence of infectious diseases, and predict possible future scenarios concerning pandemics. This book also discusses new models, practical solutions, and technological advances related to detecting and analyzing COVID-19 and other pandemics based on intelligent control systems that assist decision-makers, managers, professionals, and researchers. Much of the book focuses on preparing the scientific community for the next pandemic, particularly the application of mathematical modeling and intelligent control for combating the Monkeypox virus and Langya Henipavirus.

Predicting Pandemics in a Globally Connected World, Volume 1

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Publisher : Springer Nature
ISBN 13 : 3030965627
Total Pages : 314 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Predicting Pandemics in a Globally Connected World, Volume 1 by : Nicola Bellomo

Download or read book Predicting Pandemics in a Globally Connected World, Volume 1 written by Nicola Bellomo and published by Springer Nature. This book was released on 2022-09-22 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume investigates several mathematical techniques for the modeling and simulation of viral pandemics, with a special focus on COVID-19. Modeling a pandemic requires an interdisciplinary approach with other fields such as epidemiology, virology, immunology, and biology in general. Spatial dynamics and interactions are also important features to be considered, and a multiscale framework is needed at the level of individuals and the level of virus particles and the immune system. Chapters in this volume address these items, as well as offer perspectives for the future.

Fractional Stochastic Differential Equations

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Publisher : Springer Nature
ISBN 13 : 9811907293
Total Pages : 552 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Fractional Stochastic Differential Equations by : Abdon Atangana

Download or read book Fractional Stochastic Differential Equations written by Abdon Atangana and published by Springer Nature. This book was released on 2022-04-22 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels. The book presents the dynamic of Covid-19 spread behaviour worldwide. It is noticed that the spread dynamic followed process with nonlocal behaviours which resemble power law, fading memory, crossover and stochastic behaviours. Fractional stochastic differential equations are therefore used to model spread behaviours in different parts of the worlds. The content coverage includes brief history of Covid-19 spread worldwide from December 2019 to September 2021, followed by statistical analysis of collected data for infected, death and recovery classes.

Mathematical Analysis of Infectious Diseases

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Publisher : Academic Press
ISBN 13 : 0323904580
Total Pages : 346 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Mathematical Analysis of Infectious Diseases by : Praveen Agarwal

Download or read book Mathematical Analysis of Infectious Diseases written by Praveen Agarwal and published by Academic Press. This book was released on 2022-06-01 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Analysis of Infectious Diseases updates on the mathematical and epidemiological analysis of infectious diseases. Epidemic mathematical modeling and analysis is important, not only to understand disease progression, but also to provide predictions about the evolution of disease. One of the main focuses of the book is the transmission dynamics of the infectious diseases like COVID-19 and the intervention strategies. It also discusses optimal control strategies like vaccination and plasma transfusion and their potential effectiveness on infections using compartmental and mathematical models in epidemiology like SI, SIR, SICA, and SEIR. The book also covers topics like: biodynamic hypothesis and its application for the mathematical modeling of biological growth and the analysis of infectious diseases, mathematical modeling and analysis of diagnosis rate effects and prediction of viruses, data-driven graphical analysis of epidemic trends, dynamic simulation and scenario analysis of the spread of diseases, and the systematic review of the mathematical modeling of infectious disease like coronaviruses. Offers analytical and numerical techniques for virus models Discusses mathematical modeling and its applications in treating infectious diseases or analyzing their spreading rates Covers the application of differential equations for analyzing disease problems Examines probability distribution and bio-mathematical applications

Computational Epidemiology

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Publisher : Springer Nature
ISBN 13 : 3030828905
Total Pages : 312 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Computational Epidemiology by : Ellen Kuhl

Download or read book Computational Epidemiology written by Ellen Kuhl and published by Springer Nature. This book was released on 2021-09-22 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This innovative textbook brings together modern concepts in mathematical epidemiology, computational modeling, physics-based simulation, data science, and machine learning to understand one of the most significant problems of our current time, the outbreak dynamics and outbreak control of COVID-19. It teaches the relevant tools to model and simulate nonlinear dynamic systems in view of a global pandemic that is acutely relevant to human health. If you are a student, educator, basic scientist, or medical researcher in the natural or social sciences, or someone passionate about big data and human health: This book is for you! It serves as a textbook for undergraduates and graduate students, and a monograph for researchers and scientists. It can be used in the mathematical life sciences suitable for courses in applied mathematics, biomedical engineering, biostatistics, computer science, data science, epidemiology, health sciences, machine learning, mathematical biology, numerical methods, and probabilistic programming. This book is a personal reflection on the role of data-driven modeling during the COVID-19 pandemic, motivated by the curiosity to understand it.

Quality of Work-Life During Pandemic

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Publisher : Springer Nature
ISBN 13 : 9811675236
Total Pages : 127 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Quality of Work-Life During Pandemic by : Gitanjali Rahul Shinde

Download or read book Quality of Work-Life During Pandemic written by Gitanjali Rahul Shinde and published by Springer Nature. This book was released on 2021-11-22 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is focused on the impact of the COVID-19 pandemic on different sectors, i.e., education, real estate, health, and agriculture. The lockdown has been announced to control the spread of COVID-19 infections, however people/industries/organizations were not ready for lockdown and it has greatly affected their growth. The front workers in the healthcare sector suffered a lot as major responsibilities they needed to carry on. The education sector is also hampered due to the pandemic as schools, colleges were closed and teaching, examinations were carried out on online platforms. These platforms were new to teachers as well as students. The real estate sector faced tremendous loss in this pandemic as people were scared and no one ready to invest their money in such an uncertain time. The agriculture filed is also suffered as raw materials required for agriculture were not available readily due to pandemic. This book presents a survey that is conducted to understand the impact of COVID-19 on the quality of work-life in various sectors. The survey is focused majorly on four sectors, i.e. education, healthcare, real estate and agriculture. Data analysis is done based on responses of survey and mathematical modeling is provided for each case study.

Numerical Modeling of COVID-19 Neurological Effects

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Publisher : CRC Press
ISBN 13 : 1000509982
Total Pages : 165 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Numerical Modeling of COVID-19 Neurological Effects by : William Schiesser

Download or read book Numerical Modeling of COVID-19 Neurological Effects written by William Schiesser and published by CRC Press. This book was released on 2021-12-27 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covid-19 is primarily a respiratory disease which results in impaired oxygenation of blood. The O2-deficient blood then moves through the body, and for the study in this book, the focus is on the blood flowing to the brain. The dynamics of blood flow along the brain capillaries and tissue is modeled as systems of ordinary and partial differential equations (ODE/PDEs). The ODE/PDE methodology is presented through a series of examples, 1. A basic one PDE model for O2 concentration in the brain capillary blood. 2. A two PDE model for O2 concentration in the brain capillary blood and in the brain tissue, with O2 transport across the blood brain barrier (BBB). 3. The two model extended to three PDEs to include the brain functional neuron cell density. Cognitive impairment could result from reduced neuron cell density in time and space (in the brain) that follows from lowered O2 concentration (hypoxia). The computer-based implementation of the example models is presented through routines coded (programmed) in R, a quality, open-source scientific computing system that is readily available from the Internet. Formal mathematics is minimized, e.g., no theorems and proofs. Rather, the presentation is through detailed examples that the reader/researcher/analyst can execute on modest computers. The PDE analysis is based on the method of lines (MOL), an established general algorithm for PDEs, implemented with finite differences. The routines are available from a download link so that the example models can be executed without having to first study numerical methods and computer coding. The routines can then be applied to variations and extensions of the blood/brain hypoxia models, such as changes in the ODE/PDE parameters (constants) and form of the model equations.

Computational Modeling and Data Analysis in COVID-19 Research

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Publisher : CRC Press
ISBN 13 : 1000384977
Total Pages : 271 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Computational Modeling and Data Analysis in COVID-19 Research by : Chhabi Rani Panigrahi

Download or read book Computational Modeling and Data Analysis in COVID-19 Research written by Chhabi Rani Panigrahi and published by CRC Press. This book was released on 2021-05-09 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent research on the COVID-19 pandemic. It includes the analysis, implementation, usage, and proposed ideas and models with architecture to handle the COVID-19 outbreak. Using advanced technologies such as artificial intelligence (AI) and machine learning (ML), techniques for data analysis, this book will be helpful to mitigate exposure and ensure public health. We know prevention is better than cure, so by using several ML techniques, researchers can try to predict the disease in its early stage and develop more effective medications and treatments. Computational technologies in areas like AI, ML, Internet of Things (IoT), and drone technologies underlie a range of applications that can be developed and utilized for this purpose. Because in most cases there is no one solution to stop the spreading of pandemic diseases, and the integration of several tools and tactics are needed. Many successful applications of AI, ML, IoT, and drone technologies already exist, including systems that analyze past data to predict and conclude some useful information for controlling the spread of COVID-19 infections using minimum resources. The AI and ML approach can be helpful to design different models to give a predictive solution for mitigating infection and preventing larger outbreaks. This book: Examines the use of artificial intelligence (AI), machine learning (ML), Internet of Things (IoT), and drone technologies as a helpful predictive solution for controlling infection of COVID-19 Covers recent research related to the COVID-19 pandemic and includes the analysis, implementation, usage, and proposed ideas and models with architecture to handle a pandemic outbreak Examines the performance, implementation, architecture, and techniques of different analytical and statistical models related to COVID-19 Includes different case studies on COVID-19 Dr. Chhabi Rani Panigrahi is Assistant Professor in the Department of Computer Science at Rama Devi Women’s University, Bhubaneswar, India. Dr. Bibudhendu Pati is Associate Professor and Head of the Department of Computer Science at Rama Devi Women’s University, Bhubaneswar, India. Dr. Mamata Rath is Assistant Professor in the School of Management (Information Technology) at Birla Global University, Bhubaneswar, India. Prof. Rajkumar Buyya is a Redmond Barry Distinguished Professor and Director of the Cloud Computing and Distributed Systems (CLOUDS) Laboratory at the University of Melbourne, Australia.

Math in the Time of Corona

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Author :
Publisher : Springer Nature
ISBN 13 : 3030771660
Total Pages : 208 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Math in the Time of Corona by : Alice Wonders

Download or read book Math in the Time of Corona written by Alice Wonders and published by Springer Nature. This book was released on 2021-11-08 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title of this book, Math in the Time of Corona, has been drawn from the highly acclaimed novel by Gabriel García Márquez, Love in the Time of Cholera. The volume editor, Alice Wonders, holds a fictitious name that represents the mathematics publishing group at Springer Nature. Undeterred by disasters, so many mathematical and scientific discoveries have been made during times of duress or confinement. Unlike most any other subject, mathematics may be researched from anywhere. Covid-19, like Cholera, implementation of vaccinations have been uneven throughout the globe since the beginning of 2021. However, there has been a renewed hope for a return to normalcy though the timing will no doubt vary worldwide. Essays in this volume vary in topic and are written by members of the greater mathematics community, hence the use of “Math” in the book title. They recount or describe significant or noteworthy discoveries, musings, award winnings, eureka moments, challenges, solutions, inspirations, etc. that have resulted from, or have occurred during, an unprecedented global pandemic. Several of the authors have been involved in starting new research and devising new methodologies related to society’s response to the outbreak and its ability to self-organize during a dramatic and complex situation. Some contributions describe how mathematical models and the management of big data have proved to be fundamental tools for the interpretation of epidemic activity and development of coping mechanisms.

Fractal Signatures in the Dynamics of an Epidemiology

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Author :
Publisher : CRC Press
ISBN 13 : 1003822630
Total Pages : 268 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Fractal Signatures in the Dynamics of an Epidemiology by : Santo Banerjee

Download or read book Fractal Signatures in the Dynamics of an Epidemiology written by Santo Banerjee and published by CRC Press. This book was released on 2023-12-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Corona virus. 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.