Weak ergodicity of population evolution processes

DOI10.1016/0025-5564(89)90059-XzbMath0698.92020WikidataQ69290433 ScholiaQ69290433MaRDI QIDQ912799

Hisashi Inaba

Publication date: 1989

Published in: Mathematical Biosciences (Search for Journal in Brave)

zbMATH Keywords

multiplicative processesevolution operatordynamical modelconsistency problemmultistate population model with continuous timenew proof of the weak ergodic theorempopulation evolution processesstrong ergodic theorems

Mathematics Subject Classification ID

Signal detection and filtering (aspects of stochastic processes) (60G35) Population dynamics (general) (92D25) Stochastic processes (60G99) Measure-theoretic ergodic theory (28D99)

Related Items (9)

TIME SCALES IN A NON-AUTONOMOUS LINEAR DISCRETE MODEL ⋮ Speed of convergence to the Perron-Frobenius stationary distribution ⋮ Endemic threshold results for an age-structured SIS epidemic model with periodic parameters ⋮ On a new perspective of the basic reproduction number in heterogeneous environments ⋮ A two-group age of infection epidemic model with periodic behavioral changes ⋮ Strong ergodicity for perturbed dual semigroups and application to age- dependent population dynamics ⋮ Ergodicity in nonautonomous linear ordinary differential equations ⋮ Path stability and nonlinear weak ergodic theorems ⋮ Asynchronous exponential growth in an age structured population of proliferating and quiescent cells

Cites Work

• Dynamics of populations with changing rates: Generalization of the stable population theory
• Asymptotic proportionality (weak ergodicity) and conditional asymptotic equality of solutions to time-heterogeneous sublinear difference and differential equations
• Population dynamics in variable environments. IV. Weak ergodicity in the Lotka equation
• Convergence of the age structure: applications of the projective metric
• Hilbert's metric and positive contraction mappings in a Banach space
• An elementary proof of the Hopf inequality for positive operators
• Extensions of Jentzsch's Theorem
• Uniformly Semi-Primitive Multiplicative Processes
• Perturbation theory for dual semigroups II. Time-dependent perturbations in the sun-reflexive case
• Ergodic theorems in demography
• A semigroup approach to the strong ergodic theorem of the multistate stable population process
• On the Projective Contraction Ratio for Positive Linear Mappings
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Weak ergodicity of population evolution processes