Positive periodic solutions for a model of gene regulatory system with time-varying coefficients and delays

被引：7

作者：

Chen, Wei ^{[1
]}

Wang, Wentao ^{[2
]}

机构：

[1] Shanghai Lixin Univ Commerce, Sch Math & Informat, Shanghai 201620, Peoples R China

[2] Jiaxing Univ, Coll Math Phys & Informat Engn, Jiaxing 314001, Zhejiang, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2016年

基金：

中国国家自然科学基金;

关键词：

gene regulatory system; delay; periodic solution; global exponential stability; HOPF-BIFURCATION ANALYSIS; STABILITY ANALYSIS; NETWORKS; HEMATOPOIESIS;

D O I：

10.1186/s13662-016-0788-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper is concerned with periodic solutions of a model of gene regulatory system with time-varying coefficients and delays. We establish some sufficient conditions for the existence, positivity, and permanence of solutions, which help to derive the global exponential stability of positive periodic solutions for this model. Our method depends on differential inequality technique and Lyapunov functional. At last, we give an example and its numerical simulations to verify theoretical results.

引用

页码：1 / 9

页数：9

共 16 条

[1] Hopf bifurcation analysis for a model of single genetic negative feedback autoregulatory system with delay [J].

Cao, Jianzhi ;

Jiang, Haijun .

NEUROCOMPUTING, 2013, 99 :381-389

[2] Global attractivity in a model of genetic regulatory system with delay [J].

Chen, Shanshan ;

Wei, Junjie .

APPLIED MATHEMATICS AND COMPUTATION, 2014, 232 :411-415

[3] Positive almost periodic solution for a class of Nicholson's blowflies model with multiple time-varying delays [J].

Chen, Wei ;

Liu, Bingwen .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 235 (08) :2090-2097

[4] Stability analysis for genetic regulatory networks with delays: The continuous-time case and the discrete-time case [J].

Hu, Jianqiang ;

Liang, Jinling ;

Cao, Jinde .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 220 :507-517

[5] New results on the positive almost periodic solutions for a model of hematopoiesis [J].

Liu, Bingwen .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2014, 17 :252-264

[6] Global exponential stability of positive periodic solutions for a delayed Nicholson's blowflies model [J].

Liu, Bingwen .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 412 (01) :212-221

[7] Robust stability analysis of genetic regulatory network with time delays [J].

Liu, Pin-Lin .

ISA TRANSACTIONS, 2013, 52 (03) :326-334

[8] Modeling transcriptional control in gene networks - Methods, recent results, and future directions [J].

Smolen, P ;

Baxter, DA ;

Byrne, JH .

BULLETIN OF MATHEMATICAL BIOLOGY, 2000, 62 (02) :247-292

[9] Frequency selectivity, multistability, and oscillations emerge from models of genetic regulatory systems [J].

Smolen, P ;

Baxter, DA ;

Byrne, JH .

AMERICAN JOURNAL OF PHYSIOLOGY-CELL PHYSIOLOGY, 1998, 274 (02) :C531-C542

[10] Hopf bifurcation analysis for a model of genetic regulatory system with delay [J].

Wan, Aying ;

Zou, Xingfu .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (02) :464-476

← 1 2 →