1.

Record Nr.

UNINA9910299973103321

Autore

Iannelli Mimmo

Titolo

An Introduction to Mathematical Population Dynamics : Along the trail of Volterra and Lotka / / by Mimmo Iannelli, Andrea Pugliese

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2014

ISBN

3-319-03026-4

Edizione

[1st ed. 2014.]

Descrizione fisica

1 online resource (XIV, 346 p.)

Collana

La Matematica per il 3+2, , 2038-5722 ; ; 79

Disciplina

570.285

Soggetti

Biomathematics

Ecology 

Applied mathematics

Engineering mathematics

Mathematical and Computational Biology

Theoretical Ecology/Statistics

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.