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Zbl 1189.34145
Liu, Bingwen
Global stability of a class of delay differential systems. (English)
[J] J. Comput. Appl. Math. 233, No. 2, 217-223 (2009). ISSN 0377-0427

The author establishes new criteria for global stability of a positive equilibrium of a class of systems of delay differential equations, without considering the derivative of the Lyapunov functional employed in the investigation. The results obtained are applicable to some practical problems in population dynamics and ecology. Examples are given to illustrate the usefulness and effectiveness of the new results.
[Olusola Akinyele (Bowie)]
MSC 2000:
*34K20 Stability theory of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K21

Keywords: delay differential equation; global stability; nonnegative function space; positive equilibrium

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