Our purpose is to extend the work of Lois-Prados and Precup (2020) and use the Krasnoselskii-type homotopy fixed-point theorem to prove the existence of positive periodic solutions of nonautonomous Lotka–Volterra dynamic systems with a general attack rate on time scales.
"POSITIVE PERIODIC SOLUTIONS OF NONAUTONOMOUS LOTKA–VOLTERRA DYNAMIC SYSTEMS WITH A GENERAL ATTACK RATE ON TIME SCALES." Rocky Mountain J. Math. 53 (5) 1371 - 1385, October 2023. https://doi.org/10.1216/rmj.2023.53.1371