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

Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

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
Publication status	Published - 1 Jan 2008

Fingerprint

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

@inbook{624d5056492649aa8254a086c24d5f34,

title = "The dynamics of antibody dependent enhancement in multi-strain diseases with vaccination",

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.",

keywords = "Antibody dependent enhancement, Center manifold, Epidemics, Vaccine",

author = "Lora Billings and Schwartz, {Ira B.} and Shaw, {Leah B.}",

year = "2008",

month = "1",

day = "1",

doi = "10.1142/9789812835291_0005",

language = "English",

isbn = "9789812835284",

pages = "56--63",

booktitle = "Frontiers of Applied and Computational Mathematics",

publisher = "World Scientific Publishing Co.",

}

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

TY - CHAP

T1 - The dynamics of antibody dependent enhancement in multi-strain diseases with vaccination

AU - Billings, Lora

AU - Schwartz, Ira B.

AU - Shaw, Leah B.

PY - 2008/1/1

Y1 - 2008/1/1

N2 - 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.

AB - 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.

KW - Antibody dependent enhancement

KW - Center manifold

KW - Epidemics

KW - Vaccine

UR - http://www.scopus.com/inward/record.url?scp=84969706611&partnerID=8YFLogxK

U2 - 10.1142/9789812835291_0005

DO - 10.1142/9789812835291_0005

M3 - Chapter

AN - SCOPUS:84969706611

SN - 9789812835284

SP - 56

EP - 63

BT - Frontiers of Applied and Computational Mathematics

PB - World Scientific Publishing Co.

ER -

Access to Document

10.1142/9789812835291_0005

Link to publication in Scopus