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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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
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