Discrete-time dynamics of structured populations and homogeneous order-preserving operators /

Gespeichert in:
Weitere Titel:
Introduction
Cones and ordered vector spaces
The ordered vector space of real measures
Homogeneous operators
Spectral radii for homogeneous operators
Order-bounded operators
Upper semicontinuity of spectral radii
A left resolvent for homogeneous operators
Eigenvectors of (pseudo-)compact homogeneous operators
Continuity of the spectral radius
Eigenfunctionals
Turnover versus reproduction number
Linear maps on the vector space of measures
Nonlinear dynamics
Unstructured population models
A rank-structured population with mating
Two diffusing sexes and short reproductive season
Nonlocal spatial spread of semelparous two-sex populations
Populations with measure-valued structural distributions
Appendix A. Some tools from real analysis
1. Verfasser:
Thieme, Horst R.
Format:
Elektronisch E-Book
Sprache:
Englisch
Veröffentlicht:
Providence, Rhode Island : American Mathematical Society, [2024]
Umfang:
1 online resource (pages cm)
Mode of access : World Wide Web
Format Details:
Mode of access : World Wide Web
Bibliografie:
Includes bibliographical references and index.
Schriftenreihe:
Mathematical Surveys and Monographs,
Sekundärform:
Publikations­art: Electronic reproduction.
Verlag: Providence, Rhode Island :: American Mathematical Society.
Publikations­datum: 2024
ISBN:
9781470477349 (online)
ISSN:
2331-7159 ;
0076-5376
DOI:
10.1090/surv/281
Zugangseinschränkungen:
Access is restricted to licensed institutions
Schlagworte:
Population biology > Mathematical models.
Discrete-time systems.
Difference equations.
Integral operators.
Vector spaces.
Dynamical systems and ergodic theory > Applications > Dynamical systems in biology.
Difference and functional equations > Difference equations.
Operator theory > Integral, integro-differential, and pseudodifferential operators > Integral operators.
Operator theory > Nonlinear operators and their properties > Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces.
Biology and other natural sciences > Genetics and population dynamics > Population dynamics (general).
Measure and integration > Classical measure theory > Spaces of measures, convergence of measures.
Measure and integration > Set functions and measures on spaces with additional structure > Set functions and measures on topological spaces (regularity of measures, etc.).
Functional analysis > Linear function spaces and their duals > Spaces of measures.
Operator theory > Equations and inequalities involving nonlinear operators > Nonlinear spectral theory, nonlinear eigenvalue problems.
Operator theory > Miscellaneous applications of operator theory > Applications in chemistry and life sciences.
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