Finite‐Time Attractivity for Diagonally Dominant Systems with Off‐Diagonal Delays

T. S. Doan and S. Siegmund

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We introduce a notion of attractivity for delay equations which are defined on bounded time intervals. Our main result shows that linear delay equations are finite‐time attractive, provided that the delay is only in the coupling terms between different components, and the system is diagonally dominant. We apply this result to a nonlinear Lotka‐Volterra system and show that the delay is harmless and does not destroy finite‐time attractivity.

Date: 2012
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https://doi.org/10.1155/2012/210156

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:210156

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