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Threshold behavior in a stochastic delayed SIS epidemic model with vaccination and double diseases |
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| Authors: | Qun Liu Daqing Jiang Tasawar Hayat Ahmed Alsaedi |
| Institution: | 1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun 130024, Jilin, 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 266580, Shandong, PR China;4. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan |
| Abstract: | In this paper, we investigate the threshold dynamics of a stochastic delayed SIS epidemic model with vaccination and double diseases which make the research more difficult. We establish sufficient conditions for extinction and persistence in the mean of the two diseases. We also obtain the threshold between persistence in the mean and extinction of the stochastic system. It is shown that: (i) time delay and environmental white noise have important effects on the persistence and extinction of the two diseases; (ii) the two diseases can coexist under certain conditions. Finally, some numerical simulations are provided to demonstrate the analytical results. |
| Keywords: | Corresponding author at: School of Mathematics and Statistics Key Laboratory of Applied Statistics of MOE Northeast Normal University Changchun 130024 Jilin PR China |
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