Stavros Busenberg Kenneth Cooke Busenberg Vertically Transmitted Diseases

Vertically Transmitted Diseases

von Stavros Busenberg Kenneth Cooke

Models and Dynamics

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Beschreibung

Infectious diseases are transmitted through various different mechanisms including person to person interactions, by insect vectors and via vertical transmission from a parent to an unborn offspring. The population dynamics of such disease transmission can be very complicated and the development of rational strategies for controlling and preventing the spread of these diseases requires careful modeling and analysis. The book describes current methods for formulating models and analyzing the dynamics of the propagation of diseases which include vertical transmission as one of the mechanisms for their spread. Generic models that describe broad classes of diseases as well as models that are tailored to the dynamics of a specific infection are formulated and analyzed. The effects of incubation periods, maturation delays, and age-structure, interactions between disease transmission and demographic changes, population crowding, spatial spread, chaotic dynamic behavior, seasonal periodicities and discrete time interval events are studied within the context of specific disease transmission models. No previous background in disease transmission modeling and analysis is assumedand the required biological concepts and mathematical methods are gradually introduced within the context of specific disease transmission models. Graphs are widely used to illustrate and explain the modeling assumptions and results. REMARKS: NOTE: the authors have supplied variants on the promotion text that are more suitable for promotionin different fields (by virtue of different emphasis in the content). They are not enclosed, but in the mathematics editorial.
Infectious diseases are transmittable through different mechanisms. Vertical transmission occurs when a parent transmits a disease to an unborn offspring. The epidemiology of such transmissions can be very complicated, and hence also the modelling and analysis leading up to strategies for control and prevention. The book describes current methods for formulating models and analyzing the dynamics of the propagation of diseases which include vertical transmission as one of the mechanisms for their spread. No previous background in disease transmission modeling and analysis is assumed and the required biological concepts and mathematical methods are gradually introduced within the context of specific disease transmission models. Graphs are widely used to illustrate and explain the modeling assumptions and results.

Autor*in

Stavros Busenberg

Themen in »Vertically Transmitted Diseases«

Endemic Thresholds Epidemic Models Nonlinear Systems Vertical Transmission dynamics infection infectious diseases mathematics population dynamics vaccination

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Details

ISBN: 9783642753015
Verlag: Springer Berlin
Erscheinung: 06.12.2012

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