Feasibility of time-limited control of a competition system with impulsive harvest

DOI10.1016/j.nonrwa.2008.10.052zbMath1190.34056OpenAlexW2045316570MaRDI QIDQ1049426

Xinyu Song, Hongjian Guo, Lan-Sun Chen

Publication date: 12 January 2010

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.052

zbMATH Keywords

comparison principleboundary value problemimpulsive differential equationimpulsive controlcompetition systemupper and lower solution

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Control problems involving ordinary differential equations (34H05) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (3)

Rank One Strange Attractors in Periodically Kicked Predator–Prey System with Time-Delay ⋮ Dynamical analysis in a piecewise smooth predator–prey model with predator harvesting ⋮ A study on time-limited control of single-pest with stage-structure

Cites Work

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• Integrated pest management models and their dynamical behaviour
• Time-limited pest control of a Lotka-Volterra model with impulsive harvest
• Impulsive state feedback control of a predator-prey model
• Positive periodic solutions for a neutral impulsive delayed Lotka-Volterra competition system with the effect of toxic substance
• Existence of periodic solutions in predator-prey and competition dynamic systems
• Optimal impulsive harvesting policy for single population
• Extinction and permanence of a two-prey one-predator system with impulsive effect
• Global asymptotic stability of a two species competitive system with stage structure and harvesting

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