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Research articles

ScienceAsia 49 (2023):ID 846-858 |doi: 10.2306/scienceasia1513-1874.2023.053

S-asymptotically ω-periodic dynamics in a fractional-order genetic regulatory network with time lags

Huizhen Qu, Jianwen Zhou*

ABSTRACT:      This paper considers a class of Caputo fractional-order genetic regulatory networks with time-varying lags in biomedicine and life sciences. Applying some features of Mittag-Leffler function and contraction mapping principle, the sufficient conditions are gained to ensure the existence and uniqueness of S-asymptotically ?-periodic solution of the model. Based on comparison principle and stability theorem of linear delayed Caputo fractional-order differential equations, global asymptotical stability of the model is also investigated. The work of this article can improve and expand some existing results.

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a Department of Mathematics, Yunnan University, Kunming, Yunnan 650091 China

* Corresponding author, E-mail: jwzhou@ynu.edu.cn, ynujwzhou@163.com

Received 13 Feb 2022, Accepted 25 Mar 2023