CONTEXTS0. Introduction.......................................................................................................................................................................... 5Part IMODELS OF EPIDEMICS FOli INFECTIOUS DISEASES1. Informal description of the phenomenon of epidemics and constructionof mathematical models........................................................................................................................................................ 52. General characterization of the classical models of epidemics................................................................................ 63. General characterization of models based on the theory of branching processes............................................... 84. First group of models: geographical spread of epidemics........................................................................................ 95. Second group of models: influence of changes of infectioussness on the course of epidemic........................ 186. Third group of models: preventive activity of health service........................................................................................ 227. Discussion........................................................................................................................................................................... 28Part IISPREADING OF NON-INFECTIOUS DISEASES8. Introduction........................................................................................................................................................................... 319. Formal presentation of the model of reproduction and inheritance of types........................................................... 3210. Tests for detecting time-dependent inheritance mechanisms............................................................................... 3411. Possibility of estimating distributions appearing in the assumptions ofthe model.................................................................................................................................................................................. 3712. Probability generating function of the number of offsprings of different types...................................................... 4313. Discussion......................................................................................................................................................................... 44References............................................................................................................................................................................... 48
@book{bwmeta1.element.desklight-a447e5de-6e29-4f7e-b0a4-882f90c9c745,
author = {R. Bartoszy\'nski},
title = {Branching processes and models of epidemics},
series = {GDML\_Books},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
address = {Warszawa},
year = {1969},
zbl = {0239.92005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.desklight-a447e5de-6e29-4f7e-b0a4-882f90c9c745}
}
R. Bartoszyński. Branching processes and models of epidemics. GDML_Books (1969), http://gdmltest.u-ga.fr/item/bwmeta1.element.desklight-a447e5de-6e29-4f7e-b0a4-882f90c9c745/