摘要
研究一类具有时滞和阶段结构的SI传染病模型。讨论了系统平衡点的存在性和局部稳定性,并讨论了无病平衡点和地方病平衡点的全局稳定性。最后对所得理论结果进行了数值模拟。
In this paper, an SI epidemic model with time delay and stage structure is studied. The local stability of each of feasible equilibria of the model is established. The global stability of the disease free equilibrium and the endemic equilibrium of the model are discussed. Numerical simulations are carried out to illustrate the theoretical results.
出处
《军械工程学院学报》
2009年第4期69-73,共5页
Journal of Ordnance Engineering College
基金
国家自然科学基金项目(10671209)
关键词
时滞
阶段结构
标准发生率
稳定性
time delay
stage-structure
standard incidence
stability