Weighted Pseudo Almost Periodic Solutions for a Class of Hematopoiesis Model with Time-Varying Delay

2017 ◽  
Vol 33 (3) ◽  
pp. 197-205 ◽  
Author(s):  
H. Zhou
Keyword(s):  
Periodic Solutions ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Time Varying Delay ◽  
Pseudo Almost Periodic Solutions ◽  
Hematopoiesis Model ◽  
Pseudo Almost Periodic ◽  
Varying Delay

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.

scholarly journals Pseudo Almost Periodic Solutions for HCNNs with Time-Varying Leakage Delays

2015 ◽  
Vol 1 (1) ◽  
pp. 51-69 ◽  
Author(s):  
Cemil Tunç
Keyword(s):  
Periodic Solutions ◽  
Exponential Dichotomy ◽  
Sufficient Conditions ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic ◽  
Leakage Delays ◽  
Pseudo Almost Periodic Solutions ◽  
The Fixed Point Theorem ◽  
Pseudo Almost Periodic

Abstract In this paper, we consider a class of high-order cellular neural networks (HCNNs) model with time-varying delays in the leakage terms. We give some sufficient conditions which guarantee the exponential stability of pseudo almost periodic solutions for the model. The obtained results complement with some recent ones in the literature.The technique of proof involves the exponential dichotomy theory and the fixed point theorem. An illustrative example is given with an application.

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