Nonlinear stability of traveling waves for a multi-type SIS epidemic model

2018 ◽  
Vol 11 (01) ◽  
pp. 1850003
Author(s):  
Mengqi Li ◽  
Peixuan Weng ◽  
Yong Yang
Keyword(s):  
Nonlinear Stability ◽  
Traveling Waves ◽  
Epidemic Model ◽  
Wave Speed ◽  
Initial Perturbation ◽  
Large Wave ◽  
Weighted Energy ◽  
Sis Epidemic Model ◽  
Traveling Wavefront ◽  
Sis Epidemic

The nonlinear stability of traveling waves for a multi-type SIS epidemic model is investigated in this paper. By using the comparison principle together with the weighted energy function, we obtain the exponential stability of traveling wavefront with large wave speed. The initial perturbation around the traveling wavefront decays exponentially as [Formula: see text], but it can be arbitrarily large in other locations.

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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