Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators: 281 - Brossura

Thieme, Horst R.

 
9781470474652: Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators: 281
Brossura
ISBN 10: 1470474654 ISBN 13: 9781470474652
Casa editrice: American Mathematical Society, 2024

Sinossi

A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations - a question that is addressed mathematically by persistence theory. For some time, it has been recognized that if the dynamics of a structured population are mathematically captured by continuous or discrete semiflows and if these semiflows have first-order approximations, the spectral radii of certain bounded linear positive operators (better known as basic reproduction numbers) act as thresholds between population extinction and persistence.

This book combines the theory of discrete-time dynamical systems with applications to population dynamics with an emphasis on spatial structure. The inclusion of two sexes that must mate to produce offspring leads to the study of operators that are (positively) homogeneous (of degree one) and order-preserving rather than linear and positive.

While this book offers an introduction to ordered normed vector spaces, some background in real and functional analysis (including some measure theory for a few chapters) will be helpful. The appendix and selected exercises provide a primer about basic concepts and about relevant topics one may not find in every analysis textbook.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Editore
American Mathematical Society
Data di pubblicazione
2024
Lingua
Inglese
ISBN 10 
1470474654
ISBN 13 
9781470474652
Rilegatura
Copertina flessibile
Numero di pagine
335
Contatto del produttore
non disponibile
Persona responsabile
non disponibile