Effect of environmental fluctuation on a detritus based ecosystem

Present paper deals with the stochastic perturbation analysis on a detritus based three dimensional food-chain in presence of gestation delays and recycling delay. We have perturbed some demographic parameters by white noise and coloured noise and then extensive numerical simulations are performed to understand the effect of fluctuating environment on the dynamics of the model system for different values of forcing intensities. We have explained how stochastic perturbation terms can be introduced in the model system. Mathematical analysis reveals the fact that the internal dynamics have no ability to suppress the environmental stochasticity and rhythmic oscillation does not persist in presence of environmental driving forces rather oscillate in a irregular fashion.