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.