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Stationary distribution of stochastic SIS epidemic model with vaccination under regime switching |
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| Institution: | 1. College of Science, China University of Petroleum (East China), Qingdao 266580, PR China;2. Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;3. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan |
| Abstract: | This paper addresses a stochastic SIS epidemic model with vaccination under regime switching. The stochastic model in this paper includes white and color noises. By constructing stochastic Lyapunov functions with regime switching, we establish sufficient conditions for the existence of a unique ergodic stationary distribution. |
| Keywords: | Stochastic SISV epidemic model Stationary distribution Markov switching |
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