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Modelling the Effect of Toxin Producing Prey on Predator Population using Delay Differential Equations

A mathematical model is proposed to study the effect of toxin producing prey on predator population using delay differential equations. The associated state variables are Prey populations and predator populations. The assumption is that the toxicity released by prey population adversely affects the predator population. The feasible interior equilibrium is calculated. Hopf bifurcation is observed about the critical value of delay parameter. Analytical findings are supported using MATLAB simulation.