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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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.