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Stationary distribution and extinction of a stochastic dengue epidemic model |
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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, 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, 45320, Islamabad 44000, Pakistan |
| Abstract: | In this paper, we investigate the dynamical behavior of a stochastic dengue epidemic model. First of all, by constructing a suitable stochastic Lyapunov function, we obtain sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. The existence of stationary distribution implies stochastic weak stability. |
| Keywords: | Corresponding author at: School of Mathematics and Statistics Key Laboratory of Applied Statistics of MOE Northeast Normal University Changchun Jilin Province 130024 PR China |
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