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Immuno-Epidemiological Modeling

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Part of the book series: Texts in Applied Mathematics ((TAM,volume 61))

Abstract

This chapter introduces and studies multiscale nested immuno-epidemiological models. The chapter begins with brief introduction to within-host dynamics and within-host modeling. Then the chapter introduces nested immuno-epidemiological models. The first model studied is a nested SI model of HIV. Using data, the chapter argues that the transmission rate is not a linear function of the viral load. The epidemiological reproduction number and prevalence of HIV are derived and studied in terms of the within-host viral load. In addition, a nested immuno-epidemiological model with immune response in the within-host model is introduced and studied.

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Martcheva, M. (2015). Immuno-Epidemiological Modeling. In: An Introduction to Mathematical Epidemiology. Texts in Applied Mathematics, vol 61. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-7612-3_14

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