摘要
建立了一类含染病期时滞、考虑因病死亡且具有双线性传染率的SIS流行病模型,其人口动力学结构是人口常数输入与自然死亡.确定了疾病传播的基本再生数;得到了无病平衡点全局渐近稳定以及地方病平衡点局部渐近稳定的条件.
The delay existing in SIS epidemiologic model corresponds to an infectious period and disease related deaths.and hence the population size becomes variable. In the model, the population dynamics structure includes the recruitment for natural deaths and the incidence term belongs to the simple mass action incidence. The thresholds and equilibrium were determined, and the stabili- ties were examined. The local stability of all kinds of equilibria and the global stability of the dis- ease-free equilibrium.
出处
《上海理工大学学报》
CAS
北大核心
2012年第1期27-31,共5页
Journal of University of Shanghai For Science and Technology
基金
国家自然科学基金资助项目(10871129)
上海市教委科研创新基金资助项目(09YZ208)
