The influence of immune cross-reaction on phase structure in resonant solutions of a multi-strain seasonal SIR model

DOI10.1016/j.jtbi.2007.04.023zbMath1451.92272OpenAlexW2057030503WikidataQ57063683 ScholiaQ57063683MaRDI QIDQ2211580

Ben Adams, Michael Boots

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2007.04.023

zbMATH Keywords

epidemic modelsubharmonic resonancephase structuredenguecross-immunityRSV

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Related Items (7)

Inference for stochastic kinetic models from multiple data sources for joint estimation of infection dynamics from aggregate reports and virological data ⋮ Square-root dynamics of a giving up smoking model ⋮ Disrupting seasonality to control disease outbreaks: the case of koi herpes virus ⋮ Effect of cross-immunity in a two-strain cholera model with aquatic component ⋮ Temporary cross-immunity as a plausible driver of asynchronous cycles of dengue serotypes ⋮ Optimal strategy of vaccination \& treatment in an \textit{SIR} epidemic model ⋮ Analysis of the multistrain asymmetric SI model for arbitrary strain diversity

Uses Software

• AUTO
• XPPAUT

Cites Work

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• Epidemiological models with age structure, proportionate mixing, and cross-immunity
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• The effect of cross-immunity and seasonal forcing in a multi-strain epidemic model
• External forcing of ecological and epidemiological systems: a resonance approach
• Dynamics of a generalized Gause-type predator-prey model with a seasonal functional response
• The effect of seasonal host birth rates on population dynamics: the importance of resonance
• QUASIPERIODIC SOLUTIONS AND CHAOS IN A PERIODICALLY FORCED PREDATOR–PREY MODEL WITH AGE STRUCTURE FOR PREDATOR
• Seasonally forced disease dynamics explored as switching between attractors

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