Asymptotic stability of competitive systems with delays and impulsive perturbations

By Shair Ahmad, Ivanka M. Stamova. 2007

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Abstract A general impulsive nonautonomous Lotka–Volterra system of integro-differential equations with infinite delay is considered. The impulses are realized at fixed moments of time. Sufficient conditions for uniform stability and asymptotic stability of solutions are investigated. The main results are obtained by using the comparison principle and the Lyapunov method.

Subfields: Numerical Analysis, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0b7425befa04bde5958e135010736254405e3e93