A model for delayed effect of toxicant on resource-biomass system

A mathematical model for delayed effect of toxicant on resource-biomass system has been proposed and analyzed. It is assumed that the environmental toxicant have delayed harmful effect on the resource-biomass of the species. The accumulated toxicant in the biomass will indirectly slow down the growth of biological species. The introduction of delay in the model has lead to instability in the system. A Hopf bifurcation analysis has been performed with respect to key parameters for non-trivial equilibrium point. Numerical simulations suggest that the system may becomes chaotic with periodic input of toxicant into the system. Further, the negative feedback may control the chaos in the system.