Multiple endemic states in age-structured \(SIR\) epidemic models

DOI10.3934/MBE.2012.9.577zbMath1260.92104OpenAlexW2321860681WikidataQ44458327 ScholiaQ44458327MaRDI QIDQ1942565

Andrea Franceschetti, Andrea Pugliese, Dimitri Breda

Publication date: 19 March 2013

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

Full work available at URL: https://doi.org/10.3934/mbe.2012.9.577

zbMATH Keywords

fixed point indexmultiple endemic equilibriaperiodic and chaotic solutionsnumerical bifurcation analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Systems of nonlinear integral equations (45G15) Numerical bifurcation problems (65P30)

Related Items (8)

Stability analysis of an age-structured SIR epidemic model with a reduction method to ODEs ⋮ Dynamic analysis of a stochastic epidemic model incorporating the double epidemic hypothesis and Crowley-Martin incidence term ⋮ Global Behavior of a Multi-Group SIR Epidemic Model with Age Structure and an Application to the Chlamydia Epidemic in Japan ⋮ A numerical approach for investigating the stability of equilibria for structured population models ⋮ Hopf bifurcation in an age-structured SIR epidemic model ⋮ A multi-group SIR epidemic model with age structure ⋮ Large number of endemic equilibria for disease transmission models in patchy environment ⋮ Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients

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