scholarly journals Threshold dynamics in a time-delayed periodic SIS epidemic model

2009 ◽  
Vol 12 (1) ◽  
pp. 169-186 ◽  
Author(s):  
Yijun Lou ◽  
◽  
Xiao-Qiang Zhao ◽  
Keyword(s):  
Epidemic Model ◽  
Threshold Dynamics ◽  
Sis Epidemic Model ◽  
Sis Epidemic

scholarly journals Endemic Behaviour of SIS Epidemics with General Infectious Period Distributions

2014 ◽  
Vol 46 (01) ◽  
pp. 241-255 ◽  
Author(s):  
Peter Neal
Keyword(s):  
Epidemic Model ◽  
Branching Process ◽  
Endemic Equilibrium ◽  
Infectious Period ◽  
Sis Epidemic Model ◽  
Branching Process With Immigration ◽  
Sis Epidemic ◽  
Sis Epidemics ◽  
Surprising Observation

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

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