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2012 Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control
Yuangan Wang
J. Appl. Math. 2012(SI08): 1-9 (2012). DOI: 10.1155/2012/715497

Abstract

Having attracted much attention in the past few years, predator-prey system provides a good mathematical model to present the correlation between predators and preys. This paper focuses on the robust stability of Lotka-Volterra predator-prey system with the fuzzy impulsive control model, and Takagi-Sugeno (T-S) fuzzy impulsive control model as well. Via the T-S model and the Lyapunov method, the controlling conditions of the asymptotical stability and exponential stability are established. Furthermore, the numerical simulation for the Lotka-Volterra predator-prey system with impulsive effects verifies the effectiveness of the proposed methods.

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Yuangan Wang. "Stability Analysis of Predator-Prey System with Fuzzy Impulsive Control." J. Appl. Math. 2012 (SI08) 1 - 9, 2012. https://doi.org/10.1155/2012/715497

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1244.93126
MathSciNet: MR2927287
Digital Object Identifier: 10.1155/2012/715497

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI08 • 2012
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