A system of two competitive prey species in presence of predator under the influence of toxic substances

In this article, a two prey - one predator model has been studied where species are competitive in nature and also uses toxic substances for own existence. Biologically well posedness of the system shown through positivity boundedness solutions. Existence criterion stability analysis non-negative equilibrium points have discussed. The sufficient conditions existence Hopf bifurcation switches induced by delay investigated. direction criteria bifurcating periodic solutions determined with help normal form theory center manifold theorem. Numerical simulations performed to illustrate theoretical results.