Mathematical Modeling In The Age Of The Pandemic
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Mathematical Modeling In The Age Of The Pandemic
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Author : William P. Fox
language : en
Publisher: CRC Press
Release Date : 2021-06-09
Mathematical Modeling In The Age Of The Pandemic written by William P. Fox and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-09 with Mathematics categories.
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 Modelling Of The Pandemic Of 2019 Novel Coronavirus Covid 19 Patterns Dynamics Prediction And Control
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Author : Hui-Jia Li
language : en
Publisher: Frontiers Media SA
Release Date : 2021-09-27
Mathematical Modelling Of The Pandemic Of 2019 Novel Coronavirus Covid 19 Patterns Dynamics Prediction And Control written by Hui-Jia Li and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-27 with Science categories.
Mathematical Modeling Simulations And Ai For Emergent Pandemic Diseases
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Author : Esteban A. Hernandez-Vargas
language : en
Publisher: Elsevier
Release Date : 2023-03-21
Mathematical Modeling Simulations And Ai For Emergent Pandemic Diseases written by Esteban A. Hernandez-Vargas and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-21 with Science categories.
Mathematical Modeling, Simulations, and Artificial Intelligence for Emergent Pandemic Diseases: Lessons Learned from COVID-19 includes new research, models and simulations developed during the COVID-19 pandemic into how mathematical methods and practice can impact future response. Chapters go beyond forecasting COVID-19, bringing different scale angles and mathematical techniques (e.g., ordinary differential and difference equations, agent-based models, artificial intelligence, and complex networks) which could have potential use in modeling other emergent pandemic diseases. A major part of the book focuses on preparing the scientific community for the next pandemic, particularly the application of mathematical modeling in ecology, economics and epidemiology. Readers will benefit from learning how to apply advanced mathematical modeling to a variety of topics of practical interest, including optimal allocations of masks and vaccines but also more theoretical problems such as the evolution of viral variants. - Provides a comprehensive overview of the state-of-the-art in mathematical modeling and computational simulations for emerging pandemics - Presents modeling techniques that go beyond COVID-19, and that can be applied to tailoring interventions to attenuate high death tolls - Includes illustrations, tables and dialog boxes to explain highly specialized concepts and insights with complex algorithms, along with links to programming code
Lessons And Policy Consequences Of Mathematical Modelling In Relation To Ongoing Pandemics
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Author : Theodore Gyle Lewis
language : en
Publisher: Frontiers Media SA
Release Date : 2023-10-31
Lessons And Policy Consequences Of Mathematical Modelling In Relation To Ongoing Pandemics written by Theodore Gyle Lewis and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-31 with Medical categories.
Mathematical Models In Epidemiology
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Author : Fred Brauer
language : en
Publisher: Springer Nature
Release Date : 2019-10-10
Mathematical Models In Epidemiology written by Fred Brauer and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-10 with Mathematics categories.
The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future. There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.
Mathematical Modelling And Nonstandard Schemes For The Corona Virus Pandemic
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Author : Sarah Marie Treibert
language : en
Publisher: Springer Nature
Release Date : 2021-12-11
Mathematical Modelling And Nonstandard Schemes For The Corona Virus Pandemic written by Sarah Marie Treibert and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-11 with Mathematics categories.
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.
Mathematical And Statistical Modeling For Emerging And Re Emerging Infectious Diseases
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Author : Gerardo Chowell
language : en
Publisher: Springer
Release Date : 2016-07-27
Mathematical And Statistical Modeling For Emerging And Re Emerging Infectious Diseases written by Gerardo Chowell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-27 with Mathematics categories.
The contributions by epidemic modeling experts describe how mathematical models and statistical forecasting are created to capture the most important aspects of an emerging epidemic.Readers will discover a broad range of approaches to address questions, such as Can we control Ebola via ring vaccination strategies? How quickly should we detect Ebola cases to ensure epidemic control? What is the likelihood that an Ebola epidemic in West Africa leads to secondary outbreaks in other parts of the world? When does it matter to incorporate the role of disease-induced mortality on epidemic models? What is the role of behavior changes on Ebola dynamics? How can we better understand the control of cholera or Ebola using optimal control theory? How should a population be structured in order to mimic the transmission dynamics of diseases such as chlamydia, Ebola, or cholera? How can we objectively determine the end of an epidemic? How can we use metapopulation models to understand the role of movement restrictions and migration patterns on the spread of infectious diseases? How can we capture the impact of household transmission using compartmental epidemic models? How could behavior-dependent vaccination affect the dynamical outcomes of epidemic models? The derivation and analysis of the mathematical models addressing these questions provides a wide-ranging overview of the new approaches being created to better forecast and mitigate emerging epidemics. This book will be of interest to researchers in the field of mathematical epidemiology, as well as public health workers.
Mathematical Modeling And Intelligent Control For Combating Pandemics
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Author : Zakia Hammouch
language : en
Publisher: Springer Nature
Release Date : 2023-09-11
Mathematical Modeling And Intelligent Control For Combating Pandemics written by Zakia Hammouch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-11 with Science categories.
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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Author : Nicola Bellomo
language : en
Publisher: Springer Nature
Release Date : 2022-09-22
Predicting Pandemics In A Globally Connected World Volume 1 written by Nicola Bellomo and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-22 with Mathematics categories.
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.
Mathematical Models For Communicable Diseases
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Author : Fred Brauer
language : en
Publisher: SIAM
Release Date : 2013-02-07
Mathematical Models For Communicable Diseases written by Fred Brauer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-07 with Mathematics categories.
A self-contained and comprehensive guide to the mathematical modeling of disease transmission, appropriate for graduate students.