Coupling Within-Host and Between-Host Infectious Diseases Models

Authors

  • Maia Martcheva Department of Mathematics University of Florida
  • Necibe Tuncer Department of Mathmatics Florida Atlantic University
  • Colette St Mary Department of Biology University of Florida

DOI:

https://doi.org/10.11145/j.biomath.2015.10.091

Keywords:

immuno-epidemiological models, nested models

Abstract

Biological processes occur at distinct but interlinked scalesof organization. Yet, mathematical models are often focused on a single scale. Recently, there has been a significant interest in creating and using models that link the within-host dynamics and population level dynamics of infectious diseases. These types of multi-scale models, called immuno-epidemiological models, fall in four categories, dependent on the type of the epidemiological component of the model: network or IBM models, "nested'' age-since-infection structured models, ODE models, and"size-structured'' models. Immuno-epidemiological multi-scale models have been used to address a variety of questions, including what is the impact of within-host dynamics on population-level quantities such as reproduction number and prevalence, as well as questions related to evolution of the pathogen or co-evolution of theВ  pathogen and the host. Here we review the literature onimmuno-epidemiological modeling as well as the main insights these models have created.

Author Biographies

Maia Martcheva, Department of Mathematics University of Florida

Department of MathematicsProfessor

Necibe Tuncer, Department of Mathmatics Florida Atlantic University

Department of MathematicsAssistant Professor

Colette St Mary, Department of Biology University of Florida

Department of BiologyProfessor

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Published

2015-10-30

Issue

Section

Communications and Reviews