American Institute of Mathematical Sciences

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2003, 2003(Special): 771-777. doi: 10.3934/proc.2003.2003.771

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, Japan

Received  September 2002 Published  April 2003

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 $n = 2$.
Keywords: Liapunov functional., Lotka-Volterra, distributed delays, food chain, global asymptotic stability.
Mathematics Subject Classification: Primary: 92D25, 34K20; Secondary: 34K6.
Citation: Yasuhisa Saito. A global stability result for an N-species Lotka-Volterra food chain system with distributed time delays. Conference Publications, 2003, 2003 (Special) : 771-777. doi: 10.3934/proc.2003.2003.771
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