摘要
考虑了一个带有时滞的SIR模型.通过分析特征根的分布讨论了无疾病解和地方病解的稳定性,以及在地方病解附近Hopf分支的存在性.最后,利用数值模拟验证我们的理论结果.
A time-delayed SIR model is considered.The existence of Hopf bifurcations at the endemic equilibrium and stability in the free-disease equilibrium and the endemic equilibrium are established by analyzing the distribution of the characteristic values.At last,Numerical simulations to support the analytical conclusions are carried out.
出处
《大学数学》
2009年第4期32-36,共5页
College Mathematics
关键词
SIR模型
时滞
地方病解
HOPF分支
数值模拟
SIR model
time delay
endemic equilibrium
Hopf bifurcation
numerical simulations
