Impulsive control of uncertain Lotka–Volterra predator–prey system

Dong Li, Shilong Wang, Xiaohong Zhang and Dan Yang

Chaos, Solitons & Fractals, 2009, vol. 41, issue 4, 1572-1577

Abstract: In this letter, we investigate the impulsive control of Lotka–Volterra predator–prey system. The uncertainties in the system are considered. The model parameters which character the uncertainties are formulated through matrix analysis. The sufficient conditions of the asymptotic stability are established by employing the method of Lyapunov functions. Finally, the validity of the results is demonstrated by a numerical example.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:4:p:1572-1577

DOI: 10.1016/j.chaos.2008.06.021

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