Bifurcation behavior and PDγ control mechanism of a fractional delayed genetic regulatory model

Peiluan Li, Rong Gao, Changjin Xu, Shabir Ahmad, Ying Li and Ali Akgül

Chaos, Solitons & Fractals, 2023, vol. 168, issue C

Abstract: It is crucial for us to build genetic regulatory models to reveal the relationship between genes and protein efficaciously. In this work, a novel fractional delayed genetic regulatory model is built. For one thing, we explore the peculiarity of the solution of the fractional delayed genetic regulatory model. Some sufficient conditions on the existence and uniqueness, non-negativeness and boundedness of the solution to the fractional delayed genetic regulatory model are acquired. Secondly, the stability trait and the appearance of bifurcation have been discussed at length. Thirdly, by virtue of PDγ controller, we availably dominate the time of appearance of bifurcation of the fractional delayed genetic regulatory model. Finally, simulation plots are displayed to sustain the acquired crucial results. The acquired conclusions in this study are entirely innovative and own great potential value in dominating the balance of genes and protein in genetic regulatory models.

Keywords: Fractional-order genetic regulatory model; Peculiarity of solution; Hopf bifurcation; Stability; PDγcontroller (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923001200

DOI: 10.1016/j.chaos.2023.113219

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