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Mathematical Models in Population Biology and Epidemiology
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Catalogue Information
Field name
Details
Dewey Class
576.8
Title
Mathematical Models in Population Biology and Epidemiology ([EBook]) / by Fred Brauer, Carlos Castillo-Chávez.
Author
Brauer, Fred , 1932-
Added Personal Name
Castillo-Chavez, Carlos
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 2001.
Physical Details
XXIII, 417 pages, 5 illus. : online resource.
Series
Texts in applied mathematics
0939-2475 ; ; 40
ISBN
9781475735161
Summary Note
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.:
Contents note
I Simple Single Species Models -- 1 Continuous Population Models -- 2 Discrete Population Models -- 3 Continuous Single-Species Population Models with Delays -- II Models for Interacting Species -- 4 Introduction and Mathematical Preliminaries -- 5 Continuous Models for Two Interacting Populations -- 6 Harvesting in two-species models -- III Structured Populations Models -- 7 Basic Ideas of Mathematical Epidemiology -- 8 Models for Populations with Age Structure -- Epilogue -- IV Appendix -- A Answers to Selected Exercises -- References.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4757-3516-1
Links to Related Works
Subject References:
Biomathematics
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Chemical engineering
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Evolutionary Biology
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Industrial Chemistry/Chemical Engineering
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Life Sciences
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Mathematical and Computational Biology
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Authors:
author
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Brauer, Fred 1932-
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Brauer, Fred, 1932-
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Castillo-Chavez, Carlos
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Corporate Authors:
SpringerLink (Online service)
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Series:
Texts in applied mathematics
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Classification:
576.8
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