Exponential ergodicity of a regime-switching SIS epidemic model with jumps

2019 ◽  
Vol 94 ◽  
pp. 133-139
Author(s):  
Yuguo Lin ◽  
Yanan Zhao
Keyword(s):  
Epidemic Model ◽  
Regime Switching ◽  
Exponential Ergodicity ◽  
Sis Epidemic Model ◽  
Sis Epidemic

scholarly journals A note on the stationary distribution of stochastic SIS epidemic model with vaccination under regime switching

Filomat ◽  
2018 ◽  
Vol 32 (13) ◽  
pp. 4773-4785
Author(s):  
Junna Hu ◽  
Zhiming Li ◽  
Ting Zeng ◽  
Zhidong Teng
Keyword(s):  
Stationary Distribution ◽  
Epidemic Model ◽  
Regime Switching ◽  
Ergodic Property ◽  
Sis Epidemic Model ◽  
Stochastic Epidemic ◽  
A New Technique ◽  
Stochastic Sis Epidemic Model ◽  
Sis Epidemic ◽  
Stochastic Lyapunov Function

In this paper, the stochastic SIS epidemic model with vaccination under regime switching is further investigated. A new threshold Rs 0 which is different from that given in [22] is established. A new technique to deal with the nonlinear incidence and vaccination for stochastic epidemic model under regime switching is proposed. When Rs0 > 0, the existence of a unique stationary distribution and the ergodic property are obtained by constructing a new stochastic Lyapunov function with Markov switching. The corresponding result which is acquired in [22] is improved and extended.

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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