The dynamics of discrete system with constant rate harvesting

Abstract EN

In this papera prey -predator discrete dynamical system with Holling type I functional response is presented .

The existence of all possibleequilibria have been obtained algebraically.

The model has four equilibriaand some conditions for the local stability of its equilibria have been established.

We see that the proposed model has rich dynamics behavior.

Aconstant rate harvesting for a single population is also considered as well as the exitence of the bionomic equilibrium is dicussed and computed.

The numerical simulation is given to conforim the theoretical analysis stability of the model.Finally a general disscution is provided.