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Article
Vaccinations in disease models with antibody-dependent enhancement
Mathematical Biosciences (2007)
  • Lora Billings, Montclair State University
  • Amy Fiorillo, Montclair State University
  • Ira B. Schwartz, US Naval Research Labratory
Abstract
This paper examines the effects of single-strain vaccine campaigns on the dynamics of an epidemic multistrain model with antibody-dependent enhancement (ADE). ADE is a disease spreading process causing individuals with their secondary infection to be more infectious than during their first infection by a different strain. We follow the two-strain ADE model described in Cummings et al. [D.A.T. Cummings, Doctoral Thesis, Johns Hopkins University, 2004] and Schwartz et al. [I.B. Schwartz, L.B. Shaw, D.A.T. Cummings, L. Billings, M. McCrary, D. Burke, Chaotic desynchronization of multi-strain diseases, Phys. Rev. E, 72:art. no. 066201, 2005]. After describing the model and its steady state solutions, we modify it to include vaccine campaigns and explore if there exists vaccination rates that can eradicate one or more strains of a virus with ADE.
Keywords
  • Epidemics,
  • Antibody-dependent Enhancement,
  • Vaccine
Disciplines
Publication Date
Fall September 4, 2007
DOI
10.1016/j.mbs.2007.08.004
Citation Information
Lora Billings, Amy Fiorillo and Ira B. Schwartz. "Vaccinations in disease models with antibody-dependent enhancement" Mathematical Biosciences (2007) ISSN: 1879-3134
Available at: http://works.bepress.com/lora-billings/19/