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 | |
| State | Published - 1 Jan 2008 |
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Keywords
- Antibody dependent enhancement
- Center manifold
- Epidemics
- Vaccine
Cite this
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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
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 -