Eventual stability properties in a non-autonomous model of population dynamics

DOI10.1016/j.na.2010.03.048zbMath1204.34064OpenAlexW2002697362MaRDI QIDQ984037

László Hatvani, László L. Stachó, Attila Dénes

Publication date: 13 July 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.048

zbMATH Keywords

Lyapunov functioninvariance principleasymptotically autonomous systemeventual uniform asymptotic stability in the large

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Convergence of solutions of nonlinear systems with integrable forcing term and its applications to a biological model

Cites Work

• Stability theory by Liapunov's direct method
• Asymptotically autonomous differential equations in the plane
• Stability theory for ordinary differential equations
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