The Local Bifurcation of Food web Prey-Predator Model involving fear and anti-Predator behavior

The Local Bifurcation of Food web Prey-Predator Model involving fear and anti-Predator behavior

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In this paper, the Kids Bag conditions under which the occurrence of the local bifurcation (such as saddle-node (SN), transcritical (TC), and pitchfork (PT)) of all stable points of a food web model have been investigated.Fear and anti-predator responses involving the Holling-type IV and Growly-Martin functional responses have been found.It has been shown that there are transcritical and pitchfork bifurcations near H3, H4, and H6 as well as a saddle-node bifurcation close to the positive equilibrium point.In addition, there is a saddle-node bifurcation in close to the positive equilibrium point.These divergences have materialised into existence.

In conclusion, To prove that the analytical results are correct, a numerical simulation of dc wire harness a set of parameters and starting conditions has been used.