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

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

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.

Suggested Citation

  • Li, Peiluan & Gao, Rong & Xu, Changjin & Ahmad, Shabir & Li, Ying & Akgül, Ali, 2023. "Bifurcation behavior and PDγ control mechanism of a fractional delayed genetic regulatory model," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923001200
    DOI: 10.1016/j.chaos.2023.113219
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