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| PERSISTENCE AND EXTINCTION OF A STOCHASTIC SIS EPIDEMIC MODEL WITH DOUBLE EPIDEMIC HYPOTHESIS |
| Rui Xue,Fengying Wei |
| (College of Math. and Computer Science, Fuzhou University, Fuzhou 350116, Fujian, PR China) |
| DOI： |
| Abstract: |
| In this paper, we aim at dynamical behaviors of a stochastic SIS epidemic model with double epidemic hypothesis. Sufficient conditions for the extinction and persistence in mean are derived via constructing suitable functions. We obtain a threshold of stochastic SIS epidemic model, which determines how the diseases spread when the white noises are small. Numerical simulations are used to illustrate the efficiency of the main results of this article. |
| Key words: double epidemic hypothesis; Brownian motion; extinction; persistence |