Permanence criteria for general delayed discrete nonautonomous \(n\)-species Kolmogorov systems and its applications

DOI10.1016/j.camwa.2009.10.011zbMath1189.39017OpenAlexW2079916453MaRDI QIDQ980278

Shujing Gao, Yu Zhang, Zhi-Dong Teng

Publication date: 28 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.10.011

zbMATH Keywords

delaypermanencediscrete Lyapunov functionaldiscrete Lotka-Volterra systemdiscrete Kolmogorov system

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (13)

Complex dynamical behaviors in a discrete eco-epidemiological model with disease in prey ⋮ Almost periodic solutions of a discrete almost periodic logistic equation with delay ⋮ Exploration on dynamics in a discrete predator–prey competitive model involving feedback controls ⋮ Dynamical behavior of a delayed diffusive predator-prey model with competition and type III functional response ⋮ Permanence and global attractivity in a discrete Lotka-Volterra predator-prey model with delays ⋮ Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls ⋮ Analysis of stability for a discrete ratio-dependent predator-prey system ⋮ Almost periodic solutions of a discrete Lotka-Volterra competition system with delays ⋮ Permanence of a discrete \(n\)-species cooperation system with time-varying delays and feedback controls ⋮ On the stability in a discrete two-species competition system ⋮ Dynamical behaviour of a delayed three species predator-prey model with cooperation among the prey species ⋮ Permanence in a discrete mutualism model with infinite deviating arguments and feedback controls ⋮ Dynamics in a Lotka-Volterra predator-prey model with time-varying delays

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