Stability analysis of stochastic pantograph multi-group models with dispersal driven by G-Brownian motion

Yong Ren, Kai Wang and Huijin Yang

Applied Mathematics and Computation, 2019, vol. 355, issue C, 356-365

Abstract: In this work, we discuss the stability of stochastic pantograph multi-group models with dispersal perturbed by G-Brownian motion (G-SPMGMs, for short) with general decay rate, which includes polynomial stability, exponential stability, and logarithmic stability as special cases. With the help of G-vertex-Lyapunov functions, G-stochastic analysis technique and graph-theory on multi-digraph, sufficient criteria are obtained for the stability of G-SPMGMs. An application to a class of stochastic coupled pantograph oscillators with G-Brownian motion perturbation and an example are given to demonstrate the obtained results.

Keywords: G-Brownian motion; Multi-group model; Stochastic coupled system; Graph-theory (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:355:y:2019:i:c:p:356-365

DOI: 10.1016/j.amc.2019.03.003

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