空军工程大学学报（自然科学版）2011，Vol.12Issue(4)：82-86,5.DOI:10.3969/j.issn.1009-3516.2011.04.018
一类带有周期参数的SIS传染病模型
A Kind of SIS Epidemic Model with Periodic Parameters
摘要
Abstract
The spread of some communicable diseases often has a certain periodicity. By incorporating the periodic parameters of disease transmission into the classical SIS epidemic model, an SIS epidemic model with periodic parameters is established. By means of the comparison theorem and the stability theory of ordinary differential equations , the threshold determining whether the disease dies out or not and determining the dynamical behaviors of the model is obtained via qualitative analysis. When the threshold is negative, the disease - free periodic solution of the model is globally asymptotic stable, which implies that the disease dies out eventually. When the threshold is positive , the disease - free periodic solution of the model is unstable, and the model still has a unique endemic periodic solution that is globally stable. This implies that the disease persists in the population, and that the number of the infected individuals will change with a certain periodicity.关键词
传染病模型/周期解/全局渐近稳定性/阈值Key words
epidemic model/ periodic solution/globally asymptotic stability/ threshold分类
数理科学引用本文复制引用
杨友社..一类带有周期参数的SIS传染病模型[J].空军工程大学学报（自然科学版）,2011,12(4):82-86,5.基金项目
国家自然科学基金资助项目(11071256) （11071256）
