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

Advances in Difference Equations

Wei Chen²  Wentao Wang³ 

[1] College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, People’School of Mathematics and Information, Shanghai Lixin University of Commerce, Shanghai, People’s Republic of China

关键词: gene regulatory system;    delay;    periodic solution;    global exponential stability;   

DOI  :  10.1186/s13662-016-0788-4

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY