The dynamics of antibody dependent enhancement in multi-strain diseases with vaccination

Lora Billings, Ira B. Schwartz, Leah B. Shaw

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper, we present a model for multi-strain diseases with antibodydependent enhancement (ADE) with single strain vaccination. The phenomenon of ADE can be described as the increase in the viral growth rate in a secondary infection after recovery from a primary infection of a different disease strain. Using center manifold analysis, a relation between the primary and secondary infection classes is derived on a lower dimensional space. We then examine the effect of single strain vaccination on the dynamics.

Original languageEnglish
Title of host publicationFrontiers of Applied and Computational Mathematics
Subtitle of host publicationNew Jersey Institute of Technology, USA, 19 - 21 May 2008
PublisherWorld Scientific Publishing Co.
Pages56-63
Number of pages8
ISBN (Electronic)9789812835291
ISBN (Print)9789812835284
DOIs
Publication statusPublished - 1 Jan 2008

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Keywords

  • Antibody dependent enhancement
  • Center manifold
  • Epidemics
  • Vaccine

Cite this

Billings, L., Schwartz, I. B., & Shaw, L. B. (2008). The dynamics of antibody dependent enhancement in multi-strain diseases with vaccination. In Frontiers of Applied and Computational Mathematics: New Jersey Institute of Technology, USA, 19 - 21 May 2008 (pp. 56-63). World Scientific Publishing Co.. https://doi.org/10.1142/9789812835291_0005