Mathematical Modeling in Epidemiology

This is not the case. The purpose of this book is to illustrate the process of formulating and solving mathematical models.

Mathematical Modeling in Epidemiology

The text of this book is derived from courses taught by the author in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook. The audience for these courses was composed almost entirely of fourth year undergraduate students majoring in the mathematical sciences. The students had ordinarily completed four semesters of calculus and one of probability. Few had any prior experience with differential equations, stochastic processes, or epidemiology. It also seems prudent to mention that the author's background is in engineering and applied mathematics and not in epidemiology; it is hoped that this is not painfully obvious. The topics covered in this book have in some cases been modified from the way they were originally presented. However, care has been taken to include a suitable amount of material for a one semester course; the temptation to add gratuitous subject matter has been resisted. Similarly, when a choice between clarity and rigor was available, the more easily understood exposition was selected. By looking only at the table of contents, the casual reader could be easily misled into thinking that the main concern of this book is with epidemiology. This is not the case. The purpose of this book is to illustrate the process of formulating and solving mathematical models.

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Mathematical Modeling in Epidemiology
Language: en
Pages: 120
Authors: James C. Frauenthal
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

The text of this book is derived from courses taught by the author in the Department of Applied Mathematics and Statistics at the State University of New York at Stony Brook. The audience for these courses was composed almost entirely of fourth year undergraduate students majoring in the mathematical sciences.
Mathematical Models in Epidemiology
Language: en
Pages: 619
Authors: Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng
Categories: Mathematics
Type: BOOK - Published: 2019-10-10 - Publisher: Springer Nature

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
Mathematical Modeling and Soft Computing in Epidemiology
Language: en
Pages: 420
Authors: Jyoti Mishra, Ritu Agarwal, Abdon Atangana
Categories: Mathematics
Type: BOOK - Published: 2020-12-28 - Publisher: CRC Press

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
Mathematical Models in Population Biology and Epidemiology
Language: en
Pages: 417
Authors: Fred Brauer, Carlos Castillo-Chavez
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and
Mathematical Epidemiology of Infectious Diseases
Language: en
Pages: 303
Authors: O. Diekmann, J. A. P. Heesterbeek
Categories: Mathematics
Type: BOOK - Published: 2000-04-07 - Publisher: John Wiley & Sons

Mathematical Epidemiology of Infectious Diseases Model Building, Analysis and Interpretation O. Diekmann University of Utrecht, The Netherlands J. A. P. Heesterbeek Centre for Biometry Wageningen, The Netherlands The mathematical modelling of epidemics in populations is a vast and important area of study. It is about translating biological assumptions into mathematics,