The effects of immunity and resistance on the development of AIDS

被引:3
作者
Abell, Martha [1 ]
Braselton, James [1 ]
Braselton, Lorraine [1 ]
机构
[1] Georgia So Univ, Dept Math Sci, Statesboro, GA 30460 USA
关键词
HIV infection; AIDS; SIS model; mutation; Hardy-Weinberg equation; Routh-Hurwitz theorem; polymorphism;
D O I
10.1016/j.jmaa.2006.12.021
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We incorporate basic genetics into an AIDS model. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码:8 / 23
页数:16
相关论文
共 30 条
[1]   A host-microparasite model with a resistant host [J].
Abell, M ;
Braselton, J ;
Braselton, L .
ECOLOGICAL COMPLEXITY, 2005, 2 (03) :300-311
[2]  
Ashley-Koch A, 2000, AM J EPIDEMIOL, V151, P839
[4]   COEVOLUTION - MATHEMATICAL-ANALYSIS OF HOST-PARASITE INTERACTIONS [J].
BECK, K .
JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (01) :63-77
[5]   THE EFFECT OF EPIDEMICS ON GENETIC EVOLUTION [J].
BECK, K ;
KEENER, JP ;
RICCIARDI, P .
JOURNAL OF MATHEMATICAL BIOLOGY, 1984, 19 (01) :79-94
[6]   Selective mating in a continuous model of epistasis [J].
Braselton, J ;
Abell, M ;
Braselton, L .
APPLIED MATHEMATICS AND COMPUTATION, 2005, 171 (01) :225-241
[7]  
Bream J H, 1999, Science, V284, P223
[8]   GLOBAL DYNAMICS OF A SELECTION MODEL FOR THE GROWTH OF A POPULATION WITH GENOTYPIC FERTILITY DIFFERENCES [J].
BUTLER, GJ ;
FREEDMAN, HI ;
WALTMAN, P .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 14 (01) :25-35
[9]   Theoretical assessment of public health impact of imperfect prophylactic HIV-1 vaccines with therapeutic benefits [J].
Elbasha, Elamin H. ;
Gumel, Abba B. .
BULLETIN OF MATHEMATICAL BIOLOGY, 2006, 68 (03) :577-614
[10]  
Flugentius B., 2005, AM J APPL SCI, V2, P1274