On a nonlinear integral equation modelling an epidemic in an age-structured population.

DOI10.1515/crll.1983.341.54zbMath0514.92027OpenAlexW4253074209MaRDI QIDQ3661377

Gustaf Gripenberg

Publication date: 1983

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002200414

zbMATH Keywords

local stabilityepidemic modelage-structured populationexistence of nonnegative solutionsextension of Paley-Wiener condition

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Population dynamics (general) (92D25) Stability theory for integral equations (45M10)

Related Items

Recurrent outbreaks of childhood diseases revisited: The impact of isolation, Analysis of nonlinear integro-differential equations arising in age-dependent epidemic models, Qualitative analysis of an age-structured SEIR epidemic model with treatment, On the formulation of epidemic models (an appraisal of Kermack and McKendrick), Stability of equilibria in a class-age-dependent epidemic model, Nonlinear physiologically structured population models with two internal variables, Asymptotic behaviour of resolvents of abstract Volterra equations, A multi-group SIR epidemic model with age structure, Singular perturbation analysis of a two-site model for an epidemic in age-structured population, Stability of the endemic equilibrium in epidemic models with subpopulations, Asymptotic behaviour of an age and infection age structured model for the propagation of fungal diseases in plants