Branching processes and models of epidemics

R. Bartoszyński

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1969

Abstract

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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

How to cite

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R. Bartoszyński. Branching processes and models of epidemics. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1969. <http://eudml.org/doc/268421>.

@book{R1969,
abstract = {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},
author = {R. Bartoszyński},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {Branching processes and models of epidemics},
url = {http://eudml.org/doc/268421},
year = {1969},
}

TY - BOOK
AU - R. Bartoszyński
TI - Branching processes and models of epidemics
PY - 1969
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
UR - http://eudml.org/doc/268421
ER -

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