Epidemics with partial immunity to reinfection

DOI10.1016/j.mbs.2010.09.003zbMath1204.92060OpenAlexW2022565930WikidataQ51654900 ScholiaQ51654900MaRDI QIDQ621954

Guy Katriel

Publication date: 31 January 2011

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

Full work available at URL: https://doi.org/10.1016/j.mbs.2010.09.003

zbMATH Keywords

reinfection thresholdfinal size formulas

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (8)

Effects of information-dependent vaccination behavior on coronavirus outbreak: insights from a SIRI model ⋮ Threshold behaviour of a stochastic SIR model ⋮ Behavior of a stochastic SIR epidemic model with saturated incidence and vaccination rules ⋮ The change of susceptibility following infection can induce failure to predict outbreak potential by \(\mathcal{R}_0 \) ⋮ Stability and bifurcations of an SIR model with a nonlinear incidence rate ⋮ Epidemic dynamics with a time-varying susceptibility due to repeated infections ⋮ Stability, bifurcation, and a pair of conserved quantities in a simple epidemic system with reinfection for the spread of diseases caused by coronaviruses ⋮ Disease extinction and persistence in a discrete-time sis epidemic model with vaccination and varying population size

Cites Work

• Generality of the final size formula for an epidemic of a newly invading infectious disease
• The reinfection threshold
• Characterizing the symmetric equilibrium of multi-strain host-pathogen systems in the presence of cross immunity
• Infection, reinfection, and vaccination under suboptimal immune protection: epidemiological perspectives
• The reinfection threshold does not exist

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