scholarly journals Asymptotic profiles of steady states for a diffusive SIS epidemic model with spontaneous infection and a logistic source

2020 ◽  
Vol 19 (6) ◽  
pp. 3323-3340
Author(s):  
Siyao Zhu ◽  
◽  
Jinliang Wang
Keyword(s):  
Epidemic Model ◽  
Steady States ◽  
Logistic Source ◽  
Sis Epidemic Model ◽  
Sis Epidemic ◽  
Spontaneous Infection

scholarly journals Effect of diffusion in a spatial SIS epidemic model with spontaneous infection

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Yachun Tong ◽  
◽  
Inkyung Ahn ◽  
Zhigui Lin ◽  
◽  
...  
Keyword(s):  
Epidemic Model ◽  
Sis Epidemic Model ◽  
Sis Epidemic ◽  
Spontaneous Infection

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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