PERMANENCE OF A DISCRETE n-SPECIES LOTKA–VOLTERRA TYPE FOOD-CHAIN SYSTEM WITH FEEDBACK CONTROLS AND TIME DELAYS

DOI10.1142/S1793524508000254zbMath1155.92354MaRDI QIDQ3608696

Xuming Huang, Wensheng Yang, Xuepeng Li

Publication date: 5 March 2009

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

zbMATH Keywords

comparison theoremtime delays

Mathematics Subject Classification ID

Application models in control theory (93C95) Ecology (92D40) Growth, boundedness, comparison of solutions to difference equations (39A22) Applications of difference equations (39A60)

Related Items (1)

Global dynamics of discrete competitive models with large intrinsic growth rates

Cites Work

• Permanence and global attractivity of a discrete multispecies Lotka-Volterra competition pred\-a\-tor-prey systems
• Permanence for a discrete time Lotka-Volterra type food-chain model with delays
• Feedback regulation of logistic growth
• Positive periodic solutions of a class of delay differential system with feedback control.
• Periodicity and stability in periodic \(n\)-species Lotka-Volterra competition system with feedback controls and deviating arguments.
• Positive periodic solutions of a single species model with feedback regulation and distributed time delay
• Global attractivity in a periodic competition system with feedback controls
• Global asymptotic stability in \(n\)-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control

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