Robust interval stability, persistence, and partial stability on Lotka-Volterra systems with time-delay

摘要

Lotka-Volterra ecological systems with discrete time delays are studied, where the information about the biological vital parameters, such as the rates of birth, death, and interaction between species, is incomplete, but their upper and lower bounds are known.By using stability theory of the interval dynamical systems and constructing suitable Liapunov functionals, robust stability, partial robust stability, and robust persistence of those Lotka-Volterra systems are investigated and sufficient conditions are obtained respectively.