A MONOTONE-ITERATIVE METHOD FOR FINDING PERIODIC SOLUTION OF AN IMPULSIVE DIFFERENTIAL EQUATIONS AND APPLICATION

DOI10.1142/S1793524508000205zbMath1198.34034OpenAlexW2029128392MaRDI QIDQ3608692

Jiawei Dou

Publication date: 5 March 2009

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524508000205

zbMATH Keywords

upper and lower solutionsperiodic solutionmonotone iterationimpulsive differential equations

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Population dynamics (general) (92D25) Boundary value problems with impulses for ordinary differential equations (34B37)

Cites Work

• Positive periodic solution for a two-species ratio-dependent predator-prey system with time delay and impulse
• Complex dynamics of Holling type II Lotka--Volterra predator--prey system with impulsive perturbations on the predator.
• Control of Kalman-like filters using impulse and continuous feedback design
• A mathematical model of periodically pulsed chemotherapy: Tumor recurrence and metastasis in a competitive environment
• Limit cycles for competitor-competitor-mutualist Lotka-Volterra systems
• On positive periodic solution of periodic competition Lotka-Volterra system with time delay and diffusion
• A monotone-iterative method for finding periodic solutions of an impulsive competition system on tumor-normal cell interaction
• Global asymptotic behavior in a periodic competitor-competitor-mutualist parabolic system
• Persistence in a periodic competitor-competitor-mutualist diffusion system

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