Global Attractor of Reaction–Diffusion Gene Regulatory Networks with S-Type Delay
| Autor: | Xianglai Zhuo, Xiao Liang, Ruili Wang |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Computer Networks and Communications Semigroup General Neuroscience Complex system 02 engineering and technology Superposition principle Range (mathematics) 020901 industrial engineering & automation Artificial Intelligence Reaction–diffusion system Attractor 0202 electrical engineering electronic engineering information engineering Applied mathematics Uniform boundedness 020201 artificial intelligence & image processing Verifiable secret sharing Software Mathematics |
| Zdroj: | Neural Processing Letters. 51:1557-1577 |
| ISSN: | 1573-773X 1370-4621 |
| DOI: | 10.1007/s11063-019-10164-z |
| Popis: | This paper studies the existence of the global attractor for the reaction–diffusion gene regulatory networks with s-type delay. Firstly, two Hanalay inequalities are proposed and proved, then the uniform boundedness theorem is proved by using these inequalities and semigroup theory and functional analysis technique, the operator splitting technique based on the superposition principle is also utilized to deal with the asymptotic compact of the semigroup. Then some sufficient conditions on existence of global attractor are established, which are easily verifiable and have a wider application range. At last, two examples are discussed to validate the effectiveness of our results. Moreover, the simulation is given by using Matlab. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink