Corpus ID: 235254255

Asymptotic behavior of the linear consensus model with delay and anticipation

  title={Asymptotic behavior of the linear consensus model with delay and anticipation},
  author={Jan Haskovec},
We study asymptotic behavior of solutions of the first-order linear consensus model with delay and anticipation, which is a system of neutral delay differential equations. We consider both the transmissiontype and reaction-type delay that are motivated by modeling inputs. Studying the simplified case of two agents, we show that, depending on the parameter regime, anticipation may have both a stabilizing and destabilizing effect on the solutions. In particular, we demonstrate numerically that… Expand

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