On estimates of solutions in a predator-prey model with two delays

We consider a system of differential equations with two delays, which describes the interaction between predator and prey populations. The model takes into account the age structure of populations, herewith the delay parameters denote the time that predator and prey individuals need to become adult. We consider questions of stability of equilibrium points and study asymptotic properties of solutions. We establish estimates of solutions characterizing the stabilization rate at infinity and find estimates of attraction sets. The results are obtained using modified Lyapunov–Krasovskii functionals.