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Dynamical Systems and Population Persistence (Graduate Studies in Mathematics) - Tapa dura

Libro 97 de 190: Graduate Studies in Mathematics

Smith, Hal L.; Thieme, Horst R.

 
9780821849453: Dynamical Systems and Population Persistence (Graduate Studies in Mathematics)
Tapa dura
ISBN 10: 082184945X ISBN 13: 9780821849453
Editorial: American Mathematical Society, 2011

Sinopsis

The mathematical theory of persistence answers questions such as which species, in a mathematical model of interacting species, will survive over the long term. It applies to infinite-dimensional as well as to finite-dimensional dynamical systems, and to discrete-time as well as to continuous-time semiflows. This monograph provides a self-contained treatment of persistence theory that is accessible to graduate students. The key results for deterministic autonomous systems are proved in full detail such as the acyclicity theorem and the tripartition of a global compact attractor. Suitable conditions are given for persistence to imply strong persistence even for nonautonomous semiflows, and time-heterogeneous persistence results are developed using so-called ""average Lyapunov functions"". Applications play a large role in the monograph from the beginning. These include ODE models such as an SEIRS infectious disease in a meta-population and discrete-time nonlinear matrix models of demographic dynamics. Entire chapters are devoted to infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured model of cells growing in a chemostat.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Hal L. Smith, Arizona State University, Tempe, AZ, USA

Horst R. Thieme, Arizona State University, Tempe, AZ, USA

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2011
Idioma
Inglés
ISBN 10 
082184945X
ISBN 13 
9780821849453
Encuadernación
Tapa dura
Número de páginas
405
Contacto del fabricante
no disponible
Persona responsable
Mare Nostrum Group B.V.
gpsr@mare-nostrum.co.uk

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