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Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 16
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Original Articles

On input-to-state stability for stochastic multi-group models with multi-dispersal

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Pages 2800-2817 | Received 18 Jun 2016, Accepted 06 Oct 2016, Published online: 21 Oct 2016
 

Abstract

This paper focuses on the input-to-state stability for a general class of stochastic multi-group models with multi-dispersal. By incorporating graph theory with Lyapunov method as well as stochastic analysis techniques, novel sufficient criteria are derived, which are in the form of Lyapunov-type theorem and coefficient-type criterion, respectively. Moreover, to show the applicability of our findings, we employ coefficient-type criterion to analyze the input-to-state stability for stochastic coupled oscillators. Finally, a numerical example and its simulations are offered to demonstrate the validity and feasibility of the theoretic results.

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Acknowledgements

The authors really appreciate the referees’ valuable comments.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by grants from the National Natural Science Foundation of China [grant number 11271101], [grant number 11501150].

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