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Beschreibung
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.
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.
Über den Autor
Prof. Mimmo Iannelli, Dipartimento di Matematica, Facoltà di Scienze, Università di Trento, Italy.
Prof. Andrea Pugliese, Dipartimento di Matematica, Facoltà di Scienze, Università di Trento, Italy.
Zusammenfassung

Extended overview of applications of Mathematics to Biology

Attention to mathematical rigour in applied and empirical context

Detailed construction of models

A collection of problems designed to approach more advanced questions

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2014
Fachbereich: Allgemeines
Genre: Biologie, Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: UNITEXT
Inhalt: xiv
346 S.
ISBN-13: 9783319030258
ISBN-10: 3319030256
Sprache: Englisch
Herstellernummer: 86276997
Einband: Kartoniert / Broschiert
Autor: Iannelli, Mimmo
Pugliese, Andrea
Hersteller: Springer
Palgrave Macmillan
Springer International Publishing AG
UNITEXT
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 20 mm
Von/Mit: Mimmo Iannelli (u. a.)
Erscheinungsdatum: 23.07.2014
Gewicht: 0,552 kg
Artikel-ID: 105623101

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