Castillo-Chavez C, Feng Z
Biometrics Unit, Cornell University, Ithaca, NY 14853, USA.
Math Biosci. 1998 Aug 1;151(2):135-54. doi: 10.1016/s0025-5564(98)10016-0.
This article focuses on the study of an age-structure model for the disease transmission dynamics of tuberculosis in populations that are subjected to a vaccination program. We first show that the infection-free steady state is globally stable if the basic reproductive number R0 is below one, and that an endemic steady state exists when the reproductive number in the presence of vaccine is above one. We then apply the theoretical results to vaccination policies to determine the optimal age or ages at which an individual should be vaccinated. It is shown that the optimal strategies can be either one- or two-age strategies.
本文聚焦于对实施疫苗接种计划人群中结核病疾病传播动力学的年龄结构模型的研究。我们首先表明，如果基本再生数(R_0)小于(1)，则无感染稳态是全局稳定的，并且当存在疫苗时的再生数大于(1)时，存在地方病稳态。然后，我们将理论结果应用于疫苗接种政策，以确定个体应该接种疫苗的最佳年龄。结果表明，最优策略可以是单年龄或双年龄策略。
