A global stability result for an N-species Lotka-Volterra food chain system with distributed time delays

Yasuhisa Saito

doi:10.3934/proc.2003.2003.771

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2003, Volume 2003: 771-777. Doi: 10.3934/proc.2003.2003.771 open access

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A global stability result for an N-species Lotka-Volterra food chain system with distributed time delays

Yasuhisa Saito^1,

1.
Department of Systems Engineering, Faculty of Engineering, Shizuoka University, Hamamatsu 432-8561

Received: August 31, 2002

Published: March 2003

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Abstract

This paper presents a sufficient condition for the global stability of an n-species Lotka-Volterra food chain system with distributed time delays. The result is sharp in the sense that it coincides with a necessary and sufficient condition for global stability when $n = 2$.

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Mathematics Subject Classification: Primary: 92D25, 34K20; Secondary: 34K60.

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A global stability result for an N-species Lotka-Volterra food chain system with distributed time delays

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