Mathematical Biosciences and Engineering, 2010, 7(4): 765-777. doi: 10.3934/mbe.2010.7.765.

Primary: 92C99; Secondary: 34C25, 34C23.

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A model of varicella-zoster reactivation

1. Department of Mathematics and Computer Science, Hobart and William Smith Colleges, Geneva, NY 14456
2. Department of Mathematics, University of California, Davis, CA 95616

Mathematical models have been used to study the dynamic interaction of many infectious diseases with the host's immune system. In this paper, we study Varicella Zoster Virus, which is responsible for chicken pox (varicella), and after a long period of latency, herpes zoster (shingles). After developing the model and demonstrating that is exhibits the type of periodic behavior necessary for long term latency and reactivation, we examine the implications of the model for vaccine booster programs aimed at preventing herpes zoster.
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Keywords mathematical model.; periodic solutions; latency; vaccine booster; VZV; chronic infection

Citation: Jonathan E. Forde, Bailey Meeker. A model of varicella-zoster reactivation. Mathematical Biosciences and Engineering, 2010, 7(4): 765-777. doi: 10.3934/mbe.2010.7.765

 

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  • 1. Giorgio Guzzetta, Denise Kirschner, Andrew J. Yates, The Roles of Immune Memory and Aging in Protective Immunity and Endogenous Reactivation of Tuberculosis, PLoS ONE, 2013, 8, 4, e60425, 10.1371/journal.pone.0060425
  • 2. M. Comba, S. Martorano-Raimundo, E. Venturino, A Cost-Effectiveness-Assessing Model of Vaccination for Varicella and Zoster, Mathematical Modelling of Natural Phenomena, 2012, 7, 3, 62, 10.1051/mmnp/20127306

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