Global stability analysis of fractional-order gene regulatory networks with time delay

被引：18
|
作者：
Wu, Zhaohua [1 ,2 ,3 ]
Wang, Zhiming [1 ,2 ,3 ]
Zhou, Tiejun [1 ]
机构：
[1] Hunan Agr Univ, Coll Informat Sci & Technol, Changsha 410128, Hunan, Peoples R China
[2] Hunan Agr Univ, Coll Plant Protect, Changsha 410128, Hunan, Peoples R China
[3] Hunan Agr Univ, Hunan Engn Res Ctr Informat Technol Agr, Changsha 410128, Hunan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 06期
关键词：
Fractional-order; gene regulatory networks; time delay; global stability; HOPF-BIFURCATION ANALYSIS;
D O I：
10.1142/S1793524519500670
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Fractional-order gene regulatory networks with time delay (DFGRNs) have proven that they are more suitable to model gene regulation mechanism than integer-order. In this paper, a novel DFGRN is proposed. The existence and uniqueness of the equilibrium point for the DFGRN are proved under certain conditions. On this basis, the conditions on the global asymptotic stability are established by using the Lyapunov method and comparison theorem for the DFGRN, and the stability conditions are dependent on the fractional-order q. Finally, numerical simulations show that the obtained results are reasonable.
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页数：20
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