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Title
An introduction to mathematical population dynamics [electronic resource] : along the trail of Volterra and Lotka / by Mimmo Iannelli, Andrea Pugliese.
ISBN
9783319030265 electronic book
3319030264 electronic book
9783319030258
Published
Cham : Springer, [2014]
Copyright
©2014.
Language
English
Description
1 online resource (xiv, 334 pages) : illustrations.
Item Number
10.1007/978-3-319-03026-5 doi
Call Number
QH352 .I26 2014eb
Dewey Decimal Classification
577.88015118
Summary
This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of infectious diseases, a field where mathematical modeling is extremely popular. These themes are used as the area where to understand different types of mathematical modeling and the possible meaning of qualitative agreement of modeling with data. The book also includes a collections of problems designed to approach more advanced questions. This material has been used in the courses at the University of Trento, directed at students in their fourth year of studies in Mathematics. It can also be used as a reference as it provides up-to-date developments in several areas.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Unitext ; 79.
1 Malthus, Verhulst and all that
2 Delayed population models
3 Models of discrete-time population growth
4 Stochastic modeling of population growth
5 Spatial spread of a population
6 Prey-predator models
7 Competition among species
8 Mathematical modeling of epidemics
9 Models with several species and trophic levels
10 Appendices: A Basic theory of Ordinary Differential Equations; B Delay Equations; C Discrete dynamics; D Continuous-time Markov chains.
