Existence and exponential stability of weighted pseudo-almost periodic solutions for genetic regulatory networks with time-varying delays

作     者：Moez Ayachi 

作者机构：University of GabesFaculty of Sciences of GabesLR17ES11 Mathematics and Applications6072GabesTunisia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2021年第14卷第2期

页      面：119-138页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Weighted pseudo-almost periodic solutions genetic regulatory networks time-varying delays global exponential stability 

摘      要：The importance of prediction for genetic regulatory network(GRNs)makes mathematical modeling a prominent *** this paper,we consider weighted pseudo-almost periodic solutions for a class of GRNs with time-varying *** establish the existence,uniqueness,and global exponential stability by employing the theory of dichotomy,the fixed point theorem,and differential inequality.A numerical example along with a graphical illustration are presented to support our main *** results extend existing GRNs models using almost periodic functions to support a wider range of regulatory processes.