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An Introduction to Mathematical Population Dynamics

Along the trail of Volterra and Lotka

Specificaties
Paperback, 338 blz. | Engels
Springer International Publishing | 2014e druk, 2014
ISBN13: 9783319030258
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Juridisch :
Springer International Publishing 2014e druk, 2014 9783319030258
Onderdeel van serie UNITEXT
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Samenvatting

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.

Specificaties

ISBN13:9783319030258
Taal:Engels
Bindwijze:paperback
Aantal pagina's:338
Uitgever:Springer International Publishing
Druk:2014
Serie:UNITEXT

Inhoudsopgave

<p>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&nbsp;Basic theory of Ordinary Differential Equations; B Delay Equations; C Discrete dynamics; D Continuous-time Markov chains.</p>

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        An Introduction to Mathematical Population Dynamics