scholarly journals Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps

2017 ◽  
Vol 22 (11) ◽  
pp. 0-0
Author(s):  
Shangzhi Li ◽  
◽  
Shangjiang Guo
Keyword(s):  
Epidemic Model ◽  
Regime Switching ◽  
Sis Epidemic Model ◽  
Lévy Jumps ◽  
Stochastic 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.

A stochastic SIS epidemic model with vaccination

2017 ◽  
Vol 486 ◽  
pp. 127-143 ◽  
Author(s):  
Boqiang Cao ◽  
Meijing Shan ◽  
Qimin Zhang ◽  
Weiming Wang
Keyword(s):  
Epidemic Model ◽  
Sis Epidemic Model ◽  
Stochastic Sis Epidemic Model ◽  
Sis Epidemic

scholarly journals Analysis of a Deterministic and a Stochastic SIS Epidemic Model with Double Epidemic Hypothesis and Specific Functional Response

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Mouhcine Naim ◽  
Fouad Lahmidi
Keyword(s):  
Epidemic Model ◽  
Deterministic Model ◽  
Sufficient Condition ◽  
Nonlinear Incidence Rate ◽  
Local Asymptotic Stability ◽  
Sis Epidemic Model ◽  
The Stability ◽  
Stochastic Sis Epidemic Model ◽  
Disease Free ◽  
Sis Epidemic

The purpose of this paper is to investigate the stability of a deterministic and stochastic SIS epidemic model with double epidemic hypothesis and specific nonlinear incidence rate. We prove the local asymptotic stability of the equilibria of the deterministic model. Moreover, by constructing a suitable Lyapunov function, we obtain a sufficient condition for the global stability of the disease-free equilibrium. For the stochastic model, we establish global existence and positivity of the solution. Thereafter, stochastic stability of the disease-free equilibrium in almost sure exponential and pth moment exponential is investigated. Finally, numerical examples are presented.

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