摘要
根据不同程度的感染者有不同的传染率,建立了一个具有阶段结构和双线性传染率的S IR流行病模型,得到了模型的阈值参数R0,证明了模型平衡点的全局性态完全由R0的值确定.并进行了数值模拟.
In this paper, an SIR epidemic model with stage structure and bilinear incidence is established according to the infectious individuals in the different stages have the different ability of transmitting disease. We obtained the threshold of the SIR epidemic model R0. We proved that the number of R0 determined entirely the global behaviour of equilibrium. At last, Simulation is given.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第12期103-108,共6页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2009011005-3)
山西省重点扶持学科项目
