Persistence and global attractivity in the model \(A_{n+1}=qA_n+F_n(A_n,A_{n-1},\dots,A_{n-m})\).

DOI10.1016/j.cnsns.2008.01.003zbMath1221.39022OpenAlexW2318633318MaRDI QIDQ716634

Dang Vu Giang

Publication date: 30 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2008.01.003

zbMATH Keywords

positive equilibrium\(3/2\)-stabilityoscillated solution

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory for difference equations (39A30)

Related Items

Permanence and global attractivity for discrete nonautonomous two-species Lotka-Volterra competitive system with delays and feedback controls

Cites Work

• Unnamed Item
• A sharp global stability result for a discrete population model
• Persistence and global attractivity in the model \(A_{n+1} = A_n F_n(A_n,A_{n-1},\cdots ,A_{n-m})\)
• Stability in a population model
• Global stability in difference equations satisfying the generalized Yorke condition
• Global stability in discrete population models with delayed-density dependence
• A global attractivity criterion for nonlinear non-autonomous difference equations