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Titlebook: Vertically Transmitted Diseases; Models and Dynamics Stavros Busenberg,Kenneth Cooke Book 1993 Springer-Verlag Berlin Heidelberg 1993 Endem

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书目名称Vertically Transmitted Diseases
副标题Models and Dynamics
编辑Stavros Busenberg,Kenneth Cooke
视频video
丛书名称Biomathematics
图书封面Titlebook: Vertically Transmitted Diseases; Models and Dynamics Stavros Busenberg,Kenneth Cooke Book 1993 Springer-Verlag Berlin Heidelberg 1993 Endem
描述Infectious diseases are transmitted through variousdifferent mechanismsincluding person to personinteractions, by insect vectors and viaverticaltransmission from a parent to an unborn offspring. Thepopulation dynamics of such disease transmission can be verycomplicated and the development of rational strategies forcontrolling and preventing the spread of these diseasesrequirescareful modeling and analysis.The book describes current methods for formulating modelsand analyzing the dynamics of the propagation of diseaseswhich include vertical transmission as one of themechanismsfor their spread. Generic models that describe broad classesof diseases as well as models that are tailored to thedynamics of a specific infection are formulated andanalyzed. The effects of incubation periods, maturationdelays, and age-structure, interactionsbetween diseasetransmission and demographic changes, populationcrowding,spatial spread, chaotic dynamic behavior, seasonalperiodicities and discrete time interval events arestudiedwithin the context of specific disease transmission models.Noprevious background in disease transmission modeling andanalysis is assumedand the required biological concepts andmat
出版日期Book 1993
关键词Endemic Thresholds; Epidemic Models; Nonlinear Systems; Vertical Transmission; dynamics; infection; infect
版次1
doihttps://doi.org/10.1007/978-3-642-75301-5
isbn_softcover978-3-642-75303-9
isbn_ebook978-3-642-75301-5Series ISSN 0067-8821 Series E-ISSN 2197-4160
issn_series 0067-8821
copyrightSpringer-Verlag Berlin Heidelberg 1993
The information of publication is updating

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Delay Differential Equations Models, or diurnal variations, interactions across spatial distances or through complicated paths, as well as other mechanisms have been modeled by the introduction of time delays in dynamic models. In fact, all models that employ difference equations, that is, where time or age is discretized, introduce a
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Age and Internal Structure, the individual’s age, and contact rates among various parts of the population which may lead to the transfer of infections also depend on age. However, for horizontally transferred diseases it is often a valid approximation to neglect age as an independent parameter and to treat the population as b
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Introduction,ls that take into account the distinctive aspects of vertical transmission. The purpose of this book is to describe the results that have been obtained to date in the formulation and use of such models, and to lay a foundation for future work in this area.
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Delay Differential Equations Models,ith delays in order to account for one or more of the mechanisms we have described above. Even though it is relatively easy to justify the introduction of delays in particular models, the resulting equations often present new mathematical phenomena and difficulties which often require rather complic
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