Impulsive control for stability of \(n\)-species Lotka-Volterra cooperation models with finite delays

DOI10.1016/j.aml.2010.04.026zbMath1200.34103OpenAlexW2093493527MaRDI QIDQ988710

Ivanka M. Stamova

Publication date: 18 August 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.04.026

zbMATH Keywords

Lyapunov methoduniform asymptotic stabilitydelaysimpulsive perturbations\(n\)-dimensional cooperation system

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (11)

Bifurcation analysis of a linear Hamiltonian system with two kinds of impulsive control ⋮ Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales ⋮ Dynamics of \(N\)-species cooperation models with feedback controls and continuous delays ⋮ On the practical stability with respect to \(h\)-manifolds of hybrid Kolmogorov systems with variable impulsive perturbations ⋮ The periodic solutions for general periodic impulsive population systems of functional differential equations and its applications ⋮ On almost periodic processes in impulsive fractional-order competitive systems ⋮ Stabilization of nonlinear time-delay systems: distributed-delay dependent impulsive control ⋮ \(N\)-species non-autonomous Lotka-Volterra competitive systems with delays and impulsive perturbations ⋮ Persistence of delayed cooperative models: impulsive control method ⋮ COMPLEX DYNAMICS OF A HAMILTONIAN SYSTEM UNDER IMPULSIVE CONTROL ⋮ Matrix measure on time scales and almost periodic analysis of the impulsive Lasota–Wazewska model with patch structure and forced perturbations

Cites Work

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• Delay differential equations: with applications in population dynamics
• Vector Lyapunov functions for practical stability of nonlinear impulsive functional differential equations
• Asymptotically periodic solution of \(N\)-species cooperation system with time delay
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Asymptotic stability of competitive systems with delays and impulsive perturbations
• Positive solutions of \(p\)-type retarded functional differential equations
• Asymptotic stability of an \(N\)-dimensional impulsive competitive system

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