Exponential convergence in the mean-square sense of nonlocal stochastic almost automorphic genetic regulatory lattice networks-Reference-Cited by-同舟云学术

Exponential convergence in the mean-square sense of nonlocal stochastic almost automorphic genetic regulatory lattice networks

Published:2023-05-16 Issue:1 Volume:46 Page:116-130
ISSN:0142-3312
Container-title:Transactions of the Institute of Measurement and Control
language:en
Short-container-title:Transactions of the Institute of Measurement and Control

Author:

Hao Bing¹^ORCID,Zhang Tianwei²

Affiliation:

1. Oxbridge College, Kunming University of Science and Technology, Kunming, China

2. Department of Mathematics, Yunnan University, Kunming, China

Abstract

This paper first establishes the lattice model for nonlocal stochastic genetic regulatory networks with reaction diffusions by employing a mix of the finite difference and Mittag–Leffler time Euler difference techniques. Second, the existence of a unique bounded almost automorphic sequence in distribution and global mean-square exponential convergence to the achieved difference model are investigated. An illustrative example is used to show the feasible of the works of the current paper.

Publisher

SAGE Publications

Subject

Instrumentation

Link

http://journals.sagepub.com/doi/pdf/10.1177/01423312231163926

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

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

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