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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.

Authors :
Zhang, Xinhong
Jiang, Daqing
Hayat, Tasawar
Alsaedi, Ahmed
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