Effect of time lag on non-living resource in a simple food chain

This paper deals with a system of one non-living resource detritus, detritivores and their predators where time delay has been considered in the detritus formation. Local stability criteria are derived in the absence of delays. Conditions are derived under which there can be no change of stability whatever the value of time lag and finally we obtain criteria under which the system admits a finite number of stability switchings as the time lag increases.