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

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

“…The research findings in this article extend and complement the works in literatures (Aouiti and Dridi, 2021; Ayachi, 2021, 2022; Duan et al, 2020; Stamova and Stamov, 2021; Zhang et al, 2020; Zhang and Xu, 2019).…”

“…However, almost no paper regards almost automorphic sequences of discrete-time stochastic gene regulatory lattice networks. Thus, the current work extends the works in papers (Aouiti and Dridi, 2021; Ayachi, 2021, 2022; Duan et al, 2020; Stamova and Stamov, 2021).…”

“…Remark 1. In literatures (Aouiti and Dridi, 2021;Ayachi, 2021Ayachi, , 2022Duan et al, 2020;Stamova and Stamov, 2021), the authors discussed the (weighted) pseudo almost periodicity and Stepanov-like pseudo-weighted automorphy to genetic regulatory networks. However, almost no paper regards almost automorphic sequences of discrete-time stochastic gene regulatory lattice networks.…”

“…For all the authors know, up to now, there are few papers focusing on the study of almost periodicity or automorphy to genetic regulatory networks in literatures (Aouiti and Dridi, 2021; Ayachi, 2021, 2022; Duan et al, 2020; Stamova and Stamov, 2021). Furthermore, almost no paper discusses almost automorphic oscillations of fractional-order stochastic gene regulatory networks with reaction diffusions, and we can observe that almost all of the existing findings are about the time variable.…”