Existence of a nonautonomous SIR epidemic model with age structure

DOI10.1155/2010/212858zbMath1187.35264OpenAlexW2166470660WikidataQ59250128 ScholiaQ59250128MaRDI QIDQ963095

Xiao-Yan Wang, Jun-Yuan Yang

Publication date: 8 April 2010

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232719

zbMATH Keywords

existencepositive solutionintegro-differential equationSIR epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Applications of operator theory in chemistry and life sciences (47N60) Positive solutions to PDEs (35B09) Integro-partial differential equations (35R09)

Related Items (7)

An age-structured SIR epidemic model with fixed incubation period of infection ⋮ Fractional integro-differential calculus and its control-theoretical applications. I: Mathematical fundamentals and the problem of interpretation ⋮ An observer-based vaccination control law for an SEIR epidemic model based on feedback linearization techniques for nonlinear systems ⋮ Stability analysis of an age-structured model of cervical cancer cells and HPV dynamics ⋮ Positive solutions for an \(n\)th-order quasilinear boundary value problem ⋮ Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients ⋮ On a fractional hybrid version of the Sturm-Liouville equation

Cites Work

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• Analysis of an age-structured predator-prey model with disease in the prey
• Threshold dynamics for compartmental epidemic models in periodic environments
• Persistence and extinction of disease in non-autonomous SIRS epidemic models with disease-induced mortality
• Non-linear age-dependent population dynamics
• Global Behavior of an Age-Structured Epidemic Model
• Analytical and Numerical Results for the Age-Structured S-I-S Epidemic Model with Mixed Inter-Intracohort Transmission
• Uniform weak implies uniform strong persistence for non-autonomous semiflows

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