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

作　　者：Moez Ayachi 

机构地区：[1]University of Gabes,Faculty of Sciences of Gabes,LR17ES11 Mathematics and Applications,6072,Gabes,Tunisia

出　　处：《International Journal of Biomathematics》2021年第2期119-138,共20页生物数学学报（英文版）

摘　　要：The importance of prediction for genetic regulatory network(GRNs)makes mathematical modeling a prominent tool.In this paper,we consider weighted pseudo-almost periodic solutions for a class of GRNs with time-varying delays.We 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.Our results extend existing GRNs models using almost periodic functions to support a wider range of regulatory processes.

关 键 词：Weighted pseudo-almost periodic solutions genetic regulatory networks time-varying delays global exponential stability 

分 类 号：O17[理学—数学]