Beck K
J Math Biol. 1984;19(1):63-77. doi: 10.1007/BF00275931.
An S----I----S epidemic transmitted by two similar strains of parasite acting on a host population of three genotypes which differ in their reaction to the disease is modelled and analyzed. Singular perturbation techniques are used to reduce the original system of nine differential equations to a coupled system of two equations describing the slowtime coevolution of gene frequency and parasite strain frequency.
对由两种相似寄生虫菌株传播的一种疾病流行情况进行了建模和分析,该疾病作用于三种基因型的宿主群体,这三种基因型对疾病的反应有所不同。采用奇异摄动技术将原来的九个微分方程系统简化为一个由两个方程组成的耦合系统,该系统描述了基因频率和寄生虫菌株频率的慢时间共同演化。