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We perform a detailed analysis of the behaviour of a non-autonomousprey-predator model where age based growth with age discriminatory harvestingin prey and predator's reliance upon alternative food in the absence of thatparticular prey are considered. We begin by deriving certain sufficientconditions for permanence and positive invariance and then proceed to constructa Lyapunov function to derive some constraints for global attractivity. Withthe help of continuation theorem we arrive at the best fit criterion to provethe occurrence of a positive periodic solution. Moreover, using Arzela-Ascolitheorem we formulate a proof for a unique positive solution to be almostperiodic and we carry out numerical simulation to verify the analyticalfindings. With the aid of graphs and tables we show the nature of theprey-predator system in response to the alternative food and delays.

Dynamics of a non-autonomous system with age-structured growth and  harvesting of prey and mutually interfering predator with reliance on  alternative food