Oscillations induced by the time lags in limited nutrient–consumer dynamic models

A mathematical model describing limited nutrient–consumer dynamics with both nutrient input and its supply rate varying with respect to time and involving distributed time delays both in nutrient recycling and biotic species growth has been analyzed. The existence of periodic solutions to the model equations when both the nutrient input and its supply rate are periodic, of the same period, has been established. Asymptotic behaviour of solutions of the model equations has also been discussed.