Vaccinations in disease models with antibody-dependent enhancement

被引:29
作者
Billings, Lora [1 ]
Fiorillo, Amy [1 ]
Schwartz, Ira B. [2 ]
机构
[1] Montclair State Univ, Dept Math Sci, Montclair, NJ 07043 USA
[2] US Naval Res Lab, Nonlinear Syst Dynam Sect, Plasma Phys Div, Washington, DC 20375 USA
基金
美国国家科学基金会;
关键词
epidemics; antibody-dependent enhancement; vaccine;
D O I
10.1016/j.mbs.2007.08.004
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
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. (c) 2007 Elsevier Inc. All rights reserved.
引用
收藏
页码:265 / 281
页数:17
相关论文
共 15 条
[1]   Instabilities in multiserotype disease models with antibody-dependent enhancement [J].
Billings, Lora ;
Schwartz, Ira B. ;
Shaw, Leah B. ;
McCrary, Marie ;
Burke, Donald S. ;
Cummings, Derek A. T. .
JOURNAL OF THEORETICAL BIOLOGY, 2007, 246 (01) :18-27
[2]   EPIDEMIOLOGICAL MODELS WITH AGE STRUCTURE, PROPORTIONATE MIXING, AND CROSS-IMMUNITY [J].
CASTILLOCHAVEZ, C ;
HETHCOTE, HW ;
ANDREASEN, V ;
LEVIN, SA ;
LIU, WM .
JOURNAL OF MATHEMATICAL BIOLOGY, 1989, 27 (03) :233-258
[3]   Dynamic effects of anti body-dependent enhancement on the fitness of viruses [J].
Cummings, DAT ;
Schwartz, IB ;
Billings, L ;
Shaw, LB ;
Burke, DS .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (42) :15259-15264
[4]  
CUMMINGS DAT, 2004, THESIS J HOPKINS U
[5]   Coexistence of different serotypes of dengue virus [J].
Esteva, L ;
Vargas, C .
JOURNAL OF MATHEMATICAL BIOLOGY, 2003, 46 (01) :31-47
[6]   The effect of antibody-dependent enhancement on the transmission dynamics and persistence of multiple-strain pathogens [J].
Ferguson, N ;
Anderson, R ;
Gupta, S .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1999, 96 (02) :790-794
[7]   Transmission dynamics and epidemiology of dengue: insights from age-stratified sero-prevalence surveys [J].
Ferguson, NM ;
Donnelly, CA ;
Anderson, RM .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1999, 354 (1384) :757-768
[8]   A CASE OF NATURAL CONCURRENT HUMAN INFECTION WITH 2 DENGUE VIRUSES [J].
GUBLER, DJ ;
KUNO, G ;
SATHER, GE ;
WATERMAN, SH .
AMERICAN JOURNAL OF TROPICAL MEDICINE AND HYGIENE, 1985, 34 (01) :170-173
[9]  
Gubler Duane J., 2002, Trends in Microbiology, V10, P100, DOI 10.1016/S0966-842X(01)02288-0
[10]   The future of dengue vaccines [J].
Halstead, SB ;
Deen, J .
LANCET, 2002, 360 (9341) :1243-1245