Determinants of periodicity in seasonally driven epidemics

DOI10.1016/j.jtbi.2012.02.031zbMath1397.92684OpenAlexW2013170165WikidataQ44102109 ScholiaQ44102109MaRDI QIDQ1784769

Lewi Stone, Asher Uziel

Publication date: 27 September 2018

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.02.031

zbMATH Keywords

nonlinear dynamicsinfectious diseasesSIR modelseasonal epidemics

Mathematics Subject Classification ID

Epidemiology (92D30)

Related Items (9)

Role of additional food in eco-epidemiological system with disease in the prey ⋮ Chaotic dynamics in the seasonally forced SIR epidemic model ⋮ Host-pathogen interaction for larvae oysters with salinity dependent transmission ⋮ Chaos analysis and explicit series solutions to the seasonally forced SIR epidemic model ⋮ Dynamics of an SEIR Model for Infectious Diseases in Random Environments ⋮ Exploring optimal control strategies in seasonally varying flu-like epidemics ⋮ Effects of allochthonous inputs in the control of infectious disease of prey ⋮ SIR model with time-varying contact rate ⋮ Simplicial SIRS epidemic models with nonlinear incidence rates

Cites Work

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• Genealogy with seasonality, the basic reproduction number, and the influenza pandemic
• Seasonal dynamics and thresholds governing recurrent epidemics
• On the final size of epidemics with seasonality
• Subharmonic bifurcation in an S-I-R epidemic model
• Bifurcation analysis of periodic SEIR and SIR epidemic models
• Dynamics of annual influenza A epidemics with immuno-selection
• Time Series Modelling of Childhood Diseases: A Dynamical Systems Approach
• Seasonally forced disease dynamics explored as switching between attractors

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