SIR-based mathematical modeling of infectious diseases with vaccination and waning immunity

• Published in: Journal of computational science Vol. 37; p. 101027
• Main Authors: Ehrhardt, Matthias, Gašper, Ján, Kilianová, Soňa
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2019
• Subjects: Basic reproduction number; Discrete model; Effective reproduction number; Finite difference scheme; Measles; Ordinary-integral differential equation; SIR model; Vaccination strategy; Waning immunity; Vaccination strategy; Finite difference scheme; Basic reproduction number; Waning immunity; Discrete model; SIR model; Measles; Ordinary-integral differential equation; Effective reproduction number

•A new SIR model describing vaccination as well as waning immunity.•This model is derived on a purely discrete level and hence corresponds to a novel finite difference scheme.•For the modeling of the waning immunity we assume a statistical distribution for the level of antibodies depending on the ti...