A three species ratio-dependent food web model dynamics

الملخص EN

In this paper, a three species ratio-dependent food web model consisting of a prey, specialist predator and generalist predator is proposed and analyzed.

The dynamical behavior of all possible subsystems is carried out.

The stability analysis of all nonnegative equilibrium points is investigated.

The persistence conditions for the proposed food web model are established.

Finally, the local as well as global stability of the positive equilibrium point of the food web model are discussed.

It is proved that the proposed food web model is persistence and globally asymptotically stable under some appropriate conditions.