A SIS epidemic model with impulsive vaccination

Author(s):  
M. de la Sen ◽  
S. Alonso-Quesada ◽  
A. Ibeas
2014 ◽  
Vol 46 (01) ◽  
pp. 241-255 ◽  
Author(s):  
Peter Neal

We study the endemic behaviour of a homogeneously mixing SIS epidemic in a population of size N with a general infectious period, Q, by introducing a novel subcritical branching process with immigration approximation. This provides a simple but useful approximation of the quasistationary distribution of the SIS epidemic for finite N and the asymptotic Gaussian limit for the endemic equilibrium as N → ∞. A surprising observation is that the quasistationary distribution of the SIS epidemic model depends on Q only through


2017 ◽  
Vol 22 (2) ◽  
pp. 247-266 ◽  
Author(s):  
Jia-Feng Cao ◽  
◽  
Wan-Tong Li ◽  
Fei-Ying Yang

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