Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control.

DOI10.1007/s10492-011-0003-6zbMath1223.92051OpenAlexW2124064467MaRDI QIDQ548582

Jiabo Xu, Shujing Gao, Zhi-Dong Teng

Publication date: 29 June 2011

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

Full work available at URL: https://eudml.org/doc/116521

Mathematics Subject Classification ID

Feedback control (93B52) Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Applications of difference equations (39A60)

Related Items (8)

Extinction for a discrete competition system with feedback controls ⋮ Dynamic behaviors of a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls ⋮ Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems ⋮ Extinction in two-species nonlinear discrete competitive system ⋮ Permanence and extinction in a nonautonomous discrete SIRVS epidemic model with vaccination ⋮ Extinction in a discrete Lotka–Volterra competitive system with the effect of toxic substances and feedback controls ⋮ PERMANENCE IN NONAUTONOMOUS DISCRETE LOTKA–VOLTERRA n-SPECIES COMPETITIVE SYSTEMS WITH PURE-DELAYS AND FEEDBACK CONTROLS ⋮ Threshold conditions for a discrete nonautonomous SIRS model

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