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Periodic solution and stationary distribution of stochastic S-DI-A epidemic models.
Periodic solution and stationary distribution of stochastic S-DI-A epidemic models.
- Source :
-
Applicable Analysis . Feb2018, Vol. 97 Issue 2, p179-193. 15p. - Publication Year :
- 2018
-
Abstract
- This paper considers two S-DI-A models in random environments. Firstly, using Has’minskii theory of periodic solution, we show that stochastic periodic S-DI-A model has a nontrivial positive periodic solution if. Then, we construct stochastic Lyapunov functions with regime switching to obtain the existence of ergodic stationary distribution of the solution to S-DI-A model perturbed by white and telephone noises. Finally, examples are introduced to illustrate the results developed. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 97
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 127116479
- Full Text :
- https://doi.org/10.1080/00036811.2016.1257123