The existence of positive periodic solutions of a class of Lotka-Volterra type impulsive systems with infinitely distributed delay

DOI10.1016/j.camwa.2004.11.009zbMath1080.34557OpenAlexW2016587001MaRDI QIDQ2387345

Yongrui Duan, Weiping Zhang, Meili Li, Mian-sen Wang

Publication date: 2 September 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2004.11.009

zbMATH Keywords

coincidence degreepositive periodic solutionimpulseinfinitely distributed delay

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13)

Related Items (8)

Periodicity and stability of an impulsive nonlinear competition model with infinitely distributed delays and feedback controls ⋮ Almost periodic solution in a Lotka-Volterra recurrent neural networks with time-varying delays ⋮ Dynamics of cooperative predator-prey system with impulsive effects and Beddington-DeAngelis functional response ⋮ Existence and global asymptotic stability of positive periodic solutions ofn-species delay impulsive Lotka–Volterra type systems ⋮ Nonhomogeneous boundary value problem for first-order impulsive differential equations with delay ⋮ ALMOST PERIODICITY IN AN IMPULSIVE LOGISTIC EQUATION WITH INFINITE DELAY ⋮ Reconstruction of systems with impulses and delays from time series data ⋮ The existence of periodic solution of impulsive functional differential equations with infinite delay

Cites Work

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• Periodic solutions for delay differential equations model of plankton allelopathy
• Asymptotic behavior of solutions of impulsive delay differential equations
• Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
• Periodic boundary value problems and monotone iterative methods for first order impulsive differential equations with delay

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