Delay versus age-of-infection - Global stability

作者：McCluskey C Connell^*

来源：Applied Mathematics and Computation, 2010, 217(7): 3046-3049.

DOI：10.1016/j.amc.2010.08.037

• Delay
• Age-of-infection
• Global stability
• Lyapunov functional

We consider an SIR model of disease transmission which has been formulated with delay in order to give a fixed duration of infectiousness. A Lyapunov functional that has worked for similar models does not work here. Instead, the model is shown to be a consequence of an age-of-infection model for which the same class of Lyapunov functionals has worked, resolving the global stability.

• 出版日期2010-12-1