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Titlebook: Mathematical Approaches to Problems in Resource Management and Epidemiology; Proceedings of a Con Carlos Castillo-Chavez,Simon A. Levin,Chr

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书目名称Mathematical Approaches to Problems in Resource Management and Epidemiology
副标题Proceedings of a Con
编辑Carlos Castillo-Chavez,Simon A. Levin,Christine A.
视频video
丛书名称Lecture Notes in Biomathematics
图书封面Titlebook: Mathematical Approaches to Problems in Resource Management and Epidemiology; Proceedings of a Con Carlos Castillo-Chavez,Simon A. Levin,Chr
描述Increasingly, mathematical methods are being used to advantage in addressing the problems facing humanity in managing its environment. Problems in resource management and epidemiology especially have demonstrated the utility of quantitative modeling. To explore these approaches, the Center of Applied Mathematics at Cornell University organized a conference in Fall, 1987, with the objective of surveying and assessing the state of the art. This volume records the proceedings of that conference. Underlying virtually all of these studies are models of population growth, from individual cells to large vertebrates. Cell population growth presents the simplest of systems for study, and is of fundamental importance in its own right for a variety of medical and environmental applications. In Part I of this volume, Michael Shuler describes computer models of individual cells and cell populations, and Frank Hoppensteadt discusses the synchronization of bacterial culture growth. Together, these provide a valuable introduction to mathematical cell biology.
出版日期Conference proceedings 1989
关键词AIDS; biology; dynamics; environment; environmental policy; epidemics; epidemiology; evolution; growth; mathe
版次1
doihttps://doi.org/10.1007/978-3-642-46693-9
isbn_softcover978-3-540-51820-4
isbn_ebook978-3-642-46693-9Series ISSN 0341-633X Series E-ISSN 2196-9981
issn_series 0341-633X
copyrightSpringer-Verlag Berlin Heidelberg 1989
The information of publication is updating

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Mathematical Approaches to Problems in Resource Management and Epidemiology978-3-642-46693-9Series ISSN 0341-633X Series E-ISSN 2196-9981
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Epidemic Models in Populations of Varying SizeWe consider simple compartmental models for infectious diseases with exposed and infective periods of fixed length. In particular, we examine the effect of incorporating nonlinear population dynamics into such models on threshold phenomena and the stability of endemic equilibria.
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Lecture Notes in Biomathematicshttp://image.papertrans.cn/m/image/626005.jpg
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Multiple Time Scales in the Dynamics of Infectious Diseases that the endemic equilibrium is always stable. In an age-structured epidemic model with two interacting viral strains that confer partial cross-immunity, purely imaginary eigenvalues exists for some parameter values indicating the possibility of a limit cycle appearing through a Hopf bifurcation.
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A Model for HIV Transmission and AIDSus drug abusers and heterosexually active men and women. The progression to AIDS after infection is modeled by a sequence of stages. A modification of this model is being used to study the transmission of HIV infection and the incidence of AIDS in risk groups in the United States.
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