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

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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.… Click to show full 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.

Keywords: nonlocal stochastic; mean square; genetic regulatory; exponential convergence; almost automorphic

Journal Title: Transactions of the Institute of Measurement and Control
Year Published: 2023

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