A Short History Of Mathematical Population Dynamics
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A Short History Of Mathematical Population Dynamics
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Author : Nicolas Bacaër
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-01
A Short History Of Mathematical Population Dynamics written by Nicolas Bacaër and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-01 with Mathematics categories.
As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much more modest but has recently grown thanks to the simulation capacity offered by modern computers. This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology and demography---where mathematics has brought significant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy; the development of stochastic models, from Mendel's laws and the question of extinction of family names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine. The reader of this book will see, from a different perspective, the problems that scientists face when governments ask for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread of genetically modified organisms) or anticipate demographic evolutions such as aging.
A Primer On Population Dynamics Modeling
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Author : Hiromi Seno
language : en
Publisher: Springer Nature
Release Date : 2022-11-16
A Primer On Population Dynamics Modeling written by Hiromi Seno and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-16 with Science categories.
This textbook provides an introduction to the mathematical models of population dynamics in mathematical biology. The focus of this book is on the biological meaning/translation of mathematical structures in mathematical models, rather than simply explaining mathematical details and literacies to analyze a model. In some recent usages of the mathematical model simply with computer numerical calculations, the model includes some inappropriate mathematical structure concerning the reasonability of modeling for the biological problem under investigation. For students and researchers who study or use mathematical models, it is important and helpful to understand what mathematical setup could be regarded as reasonable for the model with respect to the relation between the biological factors involved in the assumptions and the mathematical structure of the model. Topics covered in this book are; modeling with geometric progression, density effect in population dynamics, deriving continuous time models from discrete time models, basic modeling for birth-death stochastic processes, continuous time models, modeling interspecific reaction for the continuous time population dynamics model, competition and prey-predator dynamics, modeling for population dynamics with a heterogeneous structure of population, qualitative analysis on the discrete time dynamical system, necessary knowledge about fundamental mathematical theories to understand the dynamical nature of continuous time models. The book includes popular topics in ecology and mathematical biology, as well as classic theoretical topics. By understanding the biological meaning of modeling for simple models, readers will be able to derive a specific mathematical model for a biological problem by reasonable modeling. The contents of this book is made accessible for readers without strong Mathematical background.
Biomathematical Modeling
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Author : Olcay Akman
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2025-05-19
Biomathematical Modeling written by Olcay Akman and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-19 with Mathematics categories.
Welcome to the fascinating intersection of mathematics, biology, and ecology! This book is intended primarily as a resource for teachers planning to teach their first introductory course on modeling in mathematical biology and/or ecology. This being said, it can also be used by students preparing to embark on an independent studies project in one of these fields; or, by researchers unfamiliar with the methods or software introduced who are seeking an accessible and quick introduction to one of the methods and/or software presented here; or, by curious biologists, ecologists, or mathematicians who may be unfamiliar with "the other side;" or, maybe, by the perpetual learner who is intrigued by the dynamics of living ecosystems. For each of the above, this book is designed to be an accessible introduction to the captivating landscape of biomathematics. The approach used in this book takes advantage of technology in leading readers on a journey that bridges seemingly distinct fields through introductions to three methods and software platforms: Compartmental models with Berkeley Madonna; agent-based models with NetLogo; and cluster analysis through selforganizing maps using an R Shiny app. This is not intended to be a textbook (though it may be used as one), nor is it a purely mathematics book or one purely about deeper aspects of biology or ecology. It focuses on three selected ways in which the intersection of mathematics and biology (and mathematics and ecology) can be explored with the help of software. Moreover, the manner in which the content is presented makes it possible to use this book to help prepare for an introductory course at a wide range of levels, depending on the discipline within which the course is taught and the mathematical prerequisites for the course. There are four chapters, the first of which presents the reader with a bit of background information followed by suggestions on how to get the most out of this book. The three core chapters introduce the three previously mentioned methods and software in a manner envisioned to be accessible to most.
Mathematical Modeling In Economics Ecology And The Environment
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Author : Natali Hritonenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-08
Mathematical Modeling In Economics Ecology And The Environment written by Natali Hritonenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
Updated to textbook form by popular demand, this second edition discusses diverse mathematical models used in economics, ecology, and the environmental sciences with emphasis on control and optimization. It is intended for graduate and upper-undergraduate course use, however, applied mathematicians, industry practitioners, and a vast number of interdisciplinary academics will find the presentation highly useful. Core topics of this text are: · Economic growth and technological development · Population dynamics and human impact on the environment · Resource extraction and scarcity · Air and water contamination · Rational management of the economy and environment · Climate change and global dynamics The step-by-step approach taken is problem-based and easy to follow. The authors aptly demonstrate that the same models may be used to describe different economic and environmental processes and that similar investigation techniques are applicable to analyze various models. Instructors will appreciate the substantial flexibility that this text allows while designing their own syllabus. Chapters are essentially self-contained and may be covered in full, in part, and in any order. Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models. Prerequisites for the courses are Calculus and, preferably, Differential Equations.
Oxford Textbook Of Global Public Health
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Author : Roger Detels
language : en
Publisher: Oxford University Press
Release Date : 2022
Oxford Textbook Of Global Public Health written by Roger Detels and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with Medical categories.
Invaluable for all practitioners, trainees, and students of public health and epidemiology, the Oxford Textbook of Global Public Health covers the scope, methods, and practice of public health and has been comprehensively updated for its seventh edition.
The Top Ten Diseases Of All Time
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Author : Stacey Smith?
language : en
Publisher: University of Ottawa Press
Release Date : 2023-10-24
The Top Ten Diseases Of All Time written by Stacey Smith? and has been published by University of Ottawa Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-24 with History categories.
Infectious diseases have been with us for millennia and continue to pose a threat, from the irritation of flu season to the potential extinction of our species. We instinctively fear them and alter our behaviour as a result. The reason we bury bodies six feet deep is because that was the depth that stopped plague transmission from the dead in the Middle Ages. Many religious practices, such as avoiding certain meats, were established because of foodborne disease transmission. In The Top Ten Diseases of All Time, Stacey Smith? presents the top ten deadliest diseases and their effects on society, providing a wealth of information about the trajectory and terrible impact of each disease, and humanity’s reaction to these diseases throughout the millennia. Did you know, for example, that: -The medical symbol evolved from the worms wrapped around a stick, because that was the only way to remove Guinea worms from the body, so having a stick meant you were a doctor. -Smallpox is the third-worst disease ever, yet it remains the only successfully eradicated human disease (but not for long!), thanks in part to a successful vaccine, in part to photographic recognition cards and in part due to helicopter-led forced vaccinations of whole villages in the former Yugoslavia. This brings up issues of individual rights versus public good that remain relevant today. -Four diseases were targeted for eradication in the 20th century; the failure to do so led directly to the creation of the environmental movement. -The inability of priests to explain how to stop the plague in the Middle Ages broke the back of the church as an all-powerful and all-knowing institution and led to colonialism and slavery. The Top Ten Diseases of All Time offers a fascinating overview of the deadliest diseases to spread throughout the world, including HIV/AIDS, Spanish Flu, Measles, The Black Death, Smallpox and others.
The Routledge Handbook Of Philosophy Of Scientific Modeling
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Author : Tarja Knuuttila
language : en
Publisher: Taylor & Francis
Release Date : 2024-09-05
The Routledge Handbook Of Philosophy Of Scientific Modeling written by Tarja Knuuttila and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-09-05 with Philosophy categories.
Models and modeling have played an increasingly important role in philosophy, going back to the nineteenth century. While philosophical interest in models has been remarkably lively over the last two decades, there are still many underexplored questions. The Routledge Handbook of Philosophy of Scientific Modeling is an outstanding reference source and guide to this fast-growing area and is the first volume of its kind. Comprised of 40 specially commissioned chapters by an international team of contributors, the Handbook is organized into five clear parts: Historical and General Perspectives Philosophical Accounts of Modeling Methodological Aspects: Model Construction, Evaluation, and Calibration Related Topics Modeling in the Wild. Within these parts, the Handbook covers a diverse range of topics, including historical perspectives on modeling, the relationship between models, theories, representation, idealization, and understanding, and related topics like big data, simulation, and statistical and computational modeling. Different kinds of models are discussed, for example, network models, financial models, and climate and synthetic models. The Routledge Handbook of Philosophy of Scientific Modeling is essential reading for students and scholars of philosophy of science, formal epistemology, and philosophy of social sciences. It is also a valuable resource for those in related fields such as computer science and information technology.
Mathematical Methods For Engineering Applications
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Author : Fatih Yilmaz
language : en
Publisher: Springer Nature
Release Date : 2022-04-15
Mathematical Methods For Engineering Applications written by Fatih Yilmaz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-15 with Mathematics categories.
This proceedings volume gathers selected, peer-reviewed papers presented at the 2nd International Conference on Mathematics and its Applications in Science and Engineering – ICMASE 2021, which was virtually held on July 1-2, 2021 by the University of Salamanca, Spain. Works included in this book cover applications of mathematics both in engineering research and in real-world problems, touching topics such as difference equations, number theory, optimization, and more. The list of applications includes the modeling of mechanical structures, the shape of machines, and the growth of a population, expanding to fields like information security and cryptography. Advances in teaching and learning mathematics in the context of engineering courses are also covered.This volume can be of special interest to researchers in applied mathematics and engineering fields, as well as practitioners seeking studies that address real-life problems in engineering.
A Historical Introduction To Mathematical Modeling Of Infectious Diseases
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Author : Ivo M. Foppa
language : en
Publisher: Academic Press
Release Date : 2016-10-18
A Historical Introduction To Mathematical Modeling Of Infectious Diseases written by Ivo M. Foppa and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-18 with Medical categories.
A Historical Introduction to Mathematical Modeling of Infectious Diseases: Seminal Papers in Epidemiology offers step-by-step help on how to navigate the important historical papers on the subject, beginning in the 18th century. The book carefully, and critically, guides the reader through seminal writings that helped revolutionize the field. With pointed questions, prompts, and analysis, this book helps the non-mathematician develop their own perspective, relying purely on a basic knowledge of algebra, calculus, and statistics. By learning from the important moments in the field, from its conception to the 21st century, it enables readers to mature into competent practitioners of epidemiologic modeling. - Presents a refreshing and in-depth look at key historical works of mathematical epidemiology - Provides all the basic knowledge of mathematics readers need in order to understand the fundamentals of mathematical modeling of infectious diseases - Includes questions, prompts, and answers to help apply historical solutions to modern day problems
Progress In Industrial Mathematics At Ecmi 2021
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Author : Matthias Ehrhardt
language : en
Publisher: Springer Nature
Release Date : 2022-11-25
Progress In Industrial Mathematics At Ecmi 2021 written by Matthias Ehrhardt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-25 with Mathematics categories.
This book gathers peer-reviewed contributions submitted to the 21st European Conference on Mathematics for Industry, ECMI 2021, which was virtually held online, hosted by the University of Wuppertal, Germany, from April 13th to April 15th, 2021. The works explore mathematics in a wide variety of applications, ranging from problems in electronics, energy and the environment, to mechanics and mechatronics. Topics covered include: Applied Physics, Biology and Medicine, Cybersecurity, Data Science, Economics, Finance and Insurance, Energy, Production Systems, Social Challenges, and Vehicles and Transportation. The goal of the European Consortium for Mathematics in Industry (ECMI) conference series is to promote interaction between academia and industry, leading to innovations in both fields. These events have attracted leading experts from business, science and academia, and have promoted the application of novel mathematical technologies to industry. They have also encouraged industrial sectors to share challenging problems where mathematicians can provide fresh insights and perspectives. Lastly, the ECMI conferences are one of the main forums in which significant advances in industrial mathematics are presented, bringing together prominent figures from business, science and academia to promote the use of innovative mathematics in industry.