Open AccessGlobal exponential stability of multi-group models with multiple dispersal and stochastic perturbation based on graph-theoretic approach
Author(s) -
Ying Guo,
Yingjian Li,
Xiaohua Ding
Publication year - 2017
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1716125g
Subject(s) - mathematics , perturbation (astronomy) , lyapunov function , exponential function , graph , exponential stability , biological dispersal , statistical physics , mathematical optimization , mathematical analysis , discrete mathematics , nonlinear system , population , physics , demography , quantum mechanics , sociology
This paper is concerned with a more general model of multi-group models with multiple dispersal and stochastic perturbation, in which dispersal among multiple groups and stochastic perturbation are considered at the same time. By combining graph theory with Lyapunov method, we derive two types of sufficient criteria which are in the form of Lyapunov-type and coefficient-type respectively, to guarantee the global exponential stability of the model. Furthermore, coefficient-type criterion is successfully applied to stochastic coupled oscillators system. Finally, we offer a numerical example to illustrate the effectiveness and feasibility of the main results.