A mapping method for global asymptotic stability of population interaction models with time delays

DOI10.1016/S0362-546X(97)00583-XzbMath0932.34076OpenAlexW1980082280MaRDI QIDQ4259678

Yulin Cao, Thomas C. Gard, Herb I. Freedman

Publication date: 6 March 2000

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(97)00583-x

zbMATH Keywords

stability theory

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20)

Cites Work

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• Global stability for infinite delay Lotka--Volterra type systems
• Uniform persistence for population models with time delay using multiple Lyapunov functions
• The trade-off between mutual interference and time lags in predator-prey systems
• M-matrix characterizations. I: nonsingular M-matrices
• Stability analysis of a predator-prey system with mutual interference and density-dependent death rates
• Ultimate bounds and global asymptotic stability for differential delay equations
• Global attractivity in time-delayed predator-prey systems

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