Dynamics of fuzzy genetic regulatory networks with leakage and mixed delays in doubly-measure pseudo-almost periodic environment

2022 ◽  
Vol 154 ◽  
pp. 111659
Author(s):  
Moez Ayachi
Keyword(s):  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Mixed Delays ◽  
Almost Periodic ◽  
Periodic Environment ◽  
Pseudo Almost Periodic ◽  
Fuzzy Genetic

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

2020 ◽  
pp. 2150006
Author(s):  
Moez Ayachi
Keyword(s):  
Exponential Stability ◽  
Periodic Solutions ◽  
Regulatory Networks ◽  
Genetic Regulatory Networks ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Regulatory Processes ◽  
Pseudo Almost Periodic Solutions ◽  
Pseudo Almost Periodic

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.

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