Abstract

In this paper, the almost periodic solutions for discontinuous impulsive gene regulatory networks (GRNs) are investigated. Firstly, the concept of almost periodicity is introduced for the impulsive model under consideration. Secondly, sufficient conditions are presented for the existence, uniqueness, and global exponential stability of almost periodic solutions. To this end, an estimate of the Cauchy matrix of the model of GRNs is established. Finally, the obtained results as well as the control power of the impulses are demonstrated via examples. This research contributes to the development of the qualitative theory of impulsive GRNs in almost periodic environment.

Full Text
Paper version not known

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.