Complex dynamics of a predator-prey model with opportunistic predator and weak Allee effect in prey

In this work, we first modify a Lotka-Volterra predator-prey system to incorporate an opportunistic predator and weak Allee effect in prey. The prey will be extinct if the combined effect of hunting and other food resources of predator is large. Otherwise, the dynamic behaviour of the system is extremely rich. A series of bifurcations such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation can happen. The validity of the theoretical results are supported with numerical simulations.

Automated summary

In this work, a Lotka-Volterra predator-prey system is modified to incorporate an opportunistic predator and weak Allee effect in prey. Extinction of the prey occurs when the combined effect of hunting and other food resources of the predator is large. Otherwise, the system exhibits rich dynamic behavior with possible bifurcations such as saddle-node, Hopf, and Bogdanov-Takens bifurcations. The validity of the theoretical results is supported through numerical simulations.