The dynamics of an Omnivore-predator-prey model with harvesting and two different nonlinear functional responses

In this paper, we proposed and analyzed the Omnivore -predator-prey model with the II-Holling functional response to the interaction between Predator-Prey and the Nonlinear functional response to the interaction between Omnivore –prey, existence, uniqueness, and boundedness of solution of the system are studied. All equilibria points in the system coexist. local stability and local bifurcation are investigated around each equilibria points. Finally, numerical simulations are used to investigate theoretical results.