Approximate aggregation of a two time scales periodic multi-strain SIS epidemic model: A patchy environment with fast migrations

2012 ◽  
Vol 10 ◽  
pp. 34-41 ◽  
Author(s):  
M. Marvá ◽  
R. Bravo de la Parra ◽  
J.-C. Poggiale
Keyword(s):  
Time Scales ◽  
Epidemic Model ◽  
Patchy Environment ◽  
Sis Epidemic Model ◽  
Approximate Aggregation ◽  
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

scholarly journals Dynamics of a nonlocal SIS epidemic model with free boundary

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