Reaction Equations Mass Action Kinetics Kermack–McKendrick’s SIR Model New SIR Model with ”Intervention Polynomial Factor” (SIR-IPF) (SEIR-IPF) Model G-SEIR-IPF) Model
Academic Publications Ltd.
Kyurkchiev, N., Kyurkchiev, V., Iliev, A., Rahnev, A.. A New Modifications of the SIR/SEIR Models with ”Intervention Polynomial Factor”. Methodological Aspects. International Journal of Differential Equations and Applications, 20, 1, 2021, DOI: 10.12732/ijdea.v20i1.2, 15-30.
International Journal of Differential Equations and Applications;20(1)
We develop a novel modification of the classic Kermack–McKendrick SIR (Susceptible–Infectious–Recovered) model. The new SIR model with ”intervention polynomial factor” (SIR-IPF) can be used successfully to model and play different scenarios for the infectious disease spread. A generalized ”reproduction number” is introduced. A similar modifications are proposed for the classic SEIR and G-SEIR models. The specialists working in the field of ”reaction-kinetic mechanisms” have the
Numerical examples, illustrating our results are given using CAS Mathematica.