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Attractivity of Saturated Equilibria for Lotka-Volterra Systems with Infinite Delays and Feedback Controls by Muroya, Yoshiaki; Faria, Teresa is a scholarly article available to read on EtoBox.

What is Attractivity of Saturated Equilibria for Lotka-Volterra Systems with Infinite Delays and Feedback Controls about?

In this paper, we apply a Lyapunov functional approach to Lotka-Volterra systems with infinite delays and feedback controls and establish that the feedback controls have no influence on the attractivity properties of a saturated equilibrium. This improves previous results by the authors and others, where, while feedback controls were used mostly to change the position of a unique saturated equilibrium, additional conditions involving the controls had to be assumed in order to preserve its global attractivity. The situation of partial extinction is further analysed, for which the original system is reduced to a lower dimensional one which maintains its global dynamics features.

Author

Muroya, Yoshiaki; Faria, Teresa

Published

2018

Language

EN