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Volume 2, Issue 1
Global Stability of a Stochastic Lotka-Volterra Cooperative System with Two Feedback Controls

Yulian An & Xuemei Luo

DOI: 10.12150/jnma.2020.131

J. Nonl. Mod. Anal., 2 (2020), pp. 131-141.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • Keywords

Lotka-Volterra cooperative system, Feedback controls, Stochastic perturbation, Global stability.

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  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-2-131, author = {An , Yulian and Luo , Xuemei}, title = {Global Stability of a Stochastic Lotka-Volterra Cooperative System with Two Feedback Controls}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {1}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.131}, url = {http://global-sci.org/intro/article_detail/jnma/18802.html} }
TY - JOUR T1 - Global Stability of a Stochastic Lotka-Volterra Cooperative System with Two Feedback Controls AU - An , Yulian AU - Luo , Xuemei JO - Journal of Nonlinear Modeling and Analysis VL - 1 SP - 131 EP - 141 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.131 UR - https://global-sci.org/intro/article_detail/jnma/18802.html KW - Lotka-Volterra cooperative system, Feedback controls, Stochastic perturbation, Global stability. AB -

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.

Yulian An & Xuemei Luo. (1970). Global Stability of a Stochastic Lotka-Volterra Cooperative System with Two Feedback Controls. Journal of Nonlinear Modeling and Analysis. 2 (1). 131-141. doi:10.12150/jnma.2020.131
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