Abstract
Local and global bifurcations of food web model consists of immature and mature preys, first predator, and second predator with the current of toxicity and harvesting was studied. It is shown that a trans-critical bifurcation occurs at the equilibrium point E 0, and it revealed the existence of saddle-node bifurcation occurred at equilibrium points E 1, E 2 and E 3. At any point, the occurrence of bifurcation of the pitch fork does not occur. However, Hopf bifurcation is carried out around positive equilibrium point only.
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