Eigenvectors of homogeneous order-bounded order-preserving maps

DOI10.3934/dcdsb.2017053zbMathNoneOpenAlexW2580319017MaRDI QIDQ524066

Horst R. Thieme

Publication date: 25 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017053

zbMATH Keywords

Krein-Rutman theoremcone spectral radiushomogeneous mapCollatz-Wielandt numbersnonlinear eigenvectorsordered normed vector spacepopulation models with matingpower compactness

Mathematics Subject Classification ID

Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (6)

From homogeneous eigenvalue problems to two-sex population dynamics ⋮ Kermack and McKendrick Models on a Two-Scale Network and Connections to the Boltzmann Equations ⋮ Basic Reproduction Ratios for Time-Periodic Homogeneous Evolution Systems ⋮ Reproduction number versus turnover number in structured discrete-time population models ⋮ Discrete-time population dynamics on the state space of measures ⋮ Persistent discrete-time dynamics on measures

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenfunctionals of homogeneous order-preserving maps with applications to sexually reproducing populations
• Positive dynamical systems in discrete time. Theory, models and applications
• Generalizing the Kreĭn-Rutman theorem, measures of noncompactness and the fixed point index
• Embedding of semigroups of Lipschitz maps into positive linear semigroups on ordered Banach spaces generated by measures
• Models for pair formation in bisexual populations
• Halbgeordnete lokalkonvexe Vektorräume. II
• Asymptotic fixed point theory and the beer barrel theorem
• An extinction/persistence threshold for sexually reproducing populations: the cone spectral radius
• On the Collatz-Wielandt numbers and the local spectral radius of a nonnegative operator
• Pair formation in age-structured populations
• Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
• Denjoy-Wolff theorems for Hilbert's and Thompson's metric spaces
• Ecological models, permanence and spatial heterogeneity
• Mild solutions to a measure-valued mass evolution problem with flux boundary conditions
• Eigenwertaufgaben bei monotonen Operatoren und Fehlerabschätzungen für Operatorgleichungen. (Eigenvalue problems for monotone operators and error estimations for operator equations.)
• Einschliessungssatz für die charakteristischen Zahlen von Matrizen
• Unzerlegbare, nicht negative Matrizen
• Positive Transformationen in lokalkonvexen halbgeordneten Vektorräumen
• EFFECTS OF DOMAIN SIZE ON THE PERSISTENCE OF POPULATIONS IN A DIFFUSIVE FOOD-CHAIN MODEL WITH BEDDINGTON-DeANGELIS FUNCTIONAL RESPONSE
• Continuity of the cone spectral radius
• Nonlinear Perron–Frobenius Theory
• STRUCTURED POPULATION EQUATIONS IN METRIC SPACES
• Linear Operators in Complete Positive Cones
• Uniformly Semi-Primitive Multiplicative Processes
• Hilbert’s projective metric and iterated nonlinear maps
• Eigenvectors of Order-Preserving Linear Operators
• Permanence in ecological systems with spatial heterogeneity
• Spectral Radii and Collatz–Wielandt Numbers for Homogeneous Order-preserving Maps and the Monotone Companion Norm
• Real Analysis and Probability
• On the Eigenvectors of Some Not-Necessarily-Linear Transformations
• On a class of linear positive operators

This page was built for publication: Eigenvectors of homogeneous order-bounded order-preserving maps