Year: 2020
Author: Yulian An, Xuemei Luo
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 131–141
Abstract
In this paper, a class of Lotka-Volterra cooperation system and corresponding stochastic system with two feedback controls which are affected by all species are considered. We obtain some sufficient criteria for local stability and global asymptotic stability of equilibria of the systems. Our study shows that these equilibria could be globally stable by adjusting coefficients of the feedback control variables and stochastic perturbation parameters. Numerical simulations are presented to demonstrate our main result.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.131
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 1 : pp. 131–141
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Lotka-Volterra cooperative system Feedback controls Stochastic perturbation Global stability.