Dynamics of a stochastic multigroup SIQR epidemic model with standard incidence rates |
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| Authors: | Qun Liu Daqing Jiang Tasawar Hayat Ahmed Alsaedi |
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| Institution: | 1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University Changchun, Jilin 130024, PR China;2. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;3. College of Science, China University of Petroleum Qingdao, Shandong 266580, PR China;4. Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan |
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| Abstract: | In this paper, we consider a stochastic multigroup SIQR epidemic model with standard incidence rates. By using the stochastic Lyapunov function method, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. A stationary distribution means that all the individuals can be coexistent and persistent in the long term. Finally, some examples and numerical simulations are introduced to illustrate our theoretical results. |
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| Keywords: | Corresponding author at: College of Science China University of Petroleum Qingdao Shandong 266580 PR China |
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