A nonlinear nonautonomous delay differential inequality for dissipativity of Lotka-Volterra functional differential equations

Liguang Xu, Danhua He

In this paper, a Lotka-Volterra functional differential equation is considered. By establishing a nonlinear nonautonomous delay differential inequality and using a generalized Barbalat's lemma, we obtain some new sufficient conditions ensuring the dissipativity of the Lotka-Volterra functional differential equation. 

Tbilisi Mathematical Journal, Vol. 7(1) (2014), pp. 37-43