Existence of positive periodic solutions for nonlinear Lotka-Volterra delay dynamic systems on time scales

I. Daira, A. Ardjouni

In this manuscript, we investigate the existence of positive periodic solutions of a nonlinear Lotka-Volterra delay dynamic system on time scales. By using Krasnoselskii's fixed point theorem, we give sufficient conditions for the existence of positive periodic solutions. The findings obtained here extend the findings of Benhadri, Caraballo and Zeghdoudi [7].

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 17(2) (2024), pp. 157-174