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

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

doi:10.1142/9789812835291_0005

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

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

Applied Mathematics and Statistics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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 language	English
Title of host publication	Frontiers of Applied and Computational Mathematics
Subtitle of host publication	New Jersey Institute of Technology, USA, 19 - 21 May 2008
Publisher	World Scientific Publishing Co.
Pages	56-63
Number of pages	8
ISBN (Electronic)	9789812835291
ISBN (Print)	9789812835284
DOIs	https://doi.org/10.1142/9789812835291_0005
State	Published - 1 Jan 2008

Keywords

Antibody dependent enhancement
Center manifold
Epidemics
Vaccine

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10.1142/9789812835291_0005

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The dynamics of antibody dependent enhancement in multi-strain diseases with vaccination. / Billings, Lora; Schwartz, Ira B.; Shaw, Leah B.

Frontiers of Applied and Computational Mathematics: New Jersey Institute of Technology, USA, 19 - 21 May 2008. World Scientific Publishing Co., 2008. p. 56-63.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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

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Keywords

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