Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses.

DOI10.1007/s10492-013-0015-5zbMath1289.34226OpenAlexW2048667063MaRDI QIDQ375437

Maoxin Liao, Qianhong Zhang, Chang-Jin Xu

Publication date: 30 October 2013

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143280

zbMATH Keywords

periodic solutioncompetitive systemimpulsecoincidence degree theorytoxic substance

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Functional-differential equations with impulses (34K45) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

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Cites Work

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• Global attractivity of positive periodic solution to periodic Lotka-Volterra competition systems with pure delay
• Positive periodic solutions for a neutral impulsive delayed Lotka-Volterra competition system with the effect of toxic substance
• Almost periodic solution of the non-autonomous two-species competitive model with stage structure
• Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays
• Permanence and partial extinction in an impulsive delay competitive system with the effect of toxic substances
• Coincidence degree, and nonlinear differential equations
• Oscillation and stability of linear impulsive delay differential equations
• Global attractivity of non-autonomous Lotka-Volterra competition system without instantaneous negative feedback.
• Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
• Existence and global attractivity of positive periodic solutions to periodic \(n\)-species Lotka-Volterra competition systems with several deviating arguments
• Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances
• Permanence and stability in multi-species non-autonomous Lotka-Volterra competitive systems with delays and feedback controls
• Periodic solution of a two-species competitive system with toxicant and birth pulse
• Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses
• Positive periodic solution for non-autonomous competition Lotka--Volterra patch system with time delay

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