Long-time behavior of a regime-switching Susceptible-Infective epidemic model with degenerate diffusion
Abstract In this paper, we consider a stochastic SI epidemic model with regime switching. The Markov semigroup theory is employed to obtain the existence of a unique stable stationary distribution. We prove that if R s < 0 $\mathcal{R}^{s}<0$ , then the disease becomes extinct exponentially; w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1355-3 |