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

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

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We introduce a notion of attractivity for delay equations which are defined on bounded time intervals.Our main result raspberry hershey kisses 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 jilungin dreaming tea and does not destroy finite-time attractivity.