A prey-predator model with cover for the prey and an alternative food for the predator and constant harvesting of both the species

الملخص EN

The present paper is devoted to an analytical investigation of a two species prey predator model.

Predator is provided with a limited resource of food in addition to the prey and a cover to prey proportionate to its population to get protection from the predator.

Both the prey and predator are harvested at a constant rate.

The model is characterized by couple of first order non-linear ordinary differential equations.

The lone equilibrium point of the model is identified and its stability criteria are discussed.

The Global stability of linearized equations is discussed by constructing a suitable Liapunov’s function.

A threshold theorem is stated and results are discussed.