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Mathematische Modelle in Populat - Hardcover - AKZEPTABEL

Chriz Flipz
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Artikelzustand
Gut: Buch, das gelesen wurde, sich aber in einem guten Zustand befindet. Der Einband weist nur sehr ...
Brand
Unbranded
Book Title
Mathematical Models in Population Biology and Epidemiology: v 40
MPN
Does not apply
ISBN
9780387989020

Über dieses Produkt

Product Identifiers

Publisher
Springer
ISBN-10
0387989021
ISBN-13
9780387989020
eBay Product ID (ePID)
1679956

Product Key Features

Number of Pages
Xxiii, 448 Pages
Language
English
Publication Name
Mathematical Models in Population Biology and Epidemiology
Subject
Epidemiology, Life Sciences / Biology, Applied, Chemistry / Industrial & Technical
Publication Year
2001
Type
Textbook
Author
Carlos Castillo-Chavez, Fred Brauer
Subject Area
Mathematics, Science, Medical
Series
Texts in Applied Mathematics
Format
Hardcover

Dimensions

Item Weight
28.3 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
College Audience
LCCN
00-045033
Reviews
From the reviews: ZENTRALBLATT MATH "The work provides an easily accessible, but concise introduction to the subject. Both graduate students and professionals will find the book an understandable, absorbing, and penetrating treatment of a beautiful theory." UK NONLINEAR NEWS "This book is aimed at biological-science students but it deserves a wider audience. The range of examples included makes it a good read for mathematically-literate non-biologists. Science and engineering students could also read this book and it could be a good text for a biomathematics coursea? The authorsa? approach of not getting stuck in theory makes this book easier to reada? A strength of the book is the large number of biologically-motivated problem sets. These and the references to the original biological papers would be valuable resources for an instructor. The book was written as a textbook but anyone who is curious about mathematical biology would benefit from reading it. There is enough theory to prevent the book from being trivial and the emphasis on applications carries the reader into unexpected territory." MATHEMATICAL REVIEWS "a? on close examination the presentation has a number of distinguishing features. First, the authors carefully discuss the underling assumptions of each model and, where appropriate, illustrate their points with real data. Second, the authors extend the discussion of discrete time maps to include systems of difference equations. Third, the authors provide very convincing arguments for the inclusion of time delays in models for population growth. Finally, the chapter on the effects of harvesting on the growth of populations would be an excellent addition to an undergraduate course in mathematical economics. This textbook is user friendly and at times captivating. At first look students may be slightly intimidated since the text contains a lot of equations. However they will soon be delighted to see that number of equation is because the authors show all of the steps in the derivations. Moreover the authors increase the relevance of this text by carefully discussing the underlying assumptions of each model and by placing the model in its proper historical contexta? A textbook on biomathematics must overcome two major hurdles: (1) convince biologists that the mathematics is useful in a way that is accessible to them; and (2) convince mathematicians that the topic is not trivial and hence worthy of their time. This text gets a a'two thumbs upa?'." ECOLOGY "The organization within each subsection is incredibly thorough, gradually adding mathematical twists to each previous equation or model. Biological examples are provided if and when they relate to a given equation and the examples are highly idealizeda? this books format is also reasonable for a survey of applied mathematics because the format facilitates comparison across fields of biologya? There is some very useful information within this book." "It is a useful book which gives a good introduction to the modelling of biology and some other similar fields. ... This book gives and discusses many continuous and discrete models from population dynamics, epidemiology, and resource management. A large number and variety of examples, exercises are included. The book is warmly recommended to undergraduate and graduate students as well as to scientists in mathematical or biological sciences." (J'zsef Terj'ki, Acta Scientiarum Mathematicarum, Vol. 69, 2003) "There are some jewels in this text ... . This book is intended for the student who has had a year of calculus, some background in elementary differential equations, and a little matrix theory. ... There is some very useful information within this book. The book includes problems, a'projects, an in-book appendix, and a future on-line appendix. Answers are provided for some but not all problem
Dewey Edition
23
Series Volume Number
Vol. 40
Illustrated
Yes
Dewey Decimal
577.88015118
Table Of Content
Preface * Ackn. * Prologue * Part I: Simple Single-Species Models * 1 Continuous Population Models * 2 Discrete Population Models * 3 Continuous single-species Population Models with Delays * Part II: Models for Interacting Species * 4 Introduction and Mathematical Preliminaries * 5 Continuous models for two interacting populations * 6 Harvesting in two-species models * Part III: Structured Population Models * 7 Basic ideas of Mathematical Epidemiology * 8 Models for population with age structure * Epilogue * Answers to selected Exercises * References
Synopsis
This book searches 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 animal population in the past. Part II deals with more realistic models, whose role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. With its examples and exercises, this book is of use to practitioners, graduate students, and scientists working in the field., As the world population exceeds the six billion mark, questions of population explosion, of how many people the earth can support and under which conditions, become pressing. Some of the questions and challenges raised can be addressed through the use of mathemathical models, but not all. 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 such as these. Part I focusses on single-species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models - the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity - the subject of Part III. This book, which includes both examples and exercises, will be useful to practitioners, graduate students, and scientists working in the field.
LC Classification Number
QH352.B73 2001

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