The Dynamics of Discrete System with Constant Rate Harvesting

Abstract

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.

Characterization of P-Semi Homogeneous System of Difference Equations of Three dimension

“…Difference equations are existed since ancient times, there are two types of functions. First, the functions where the variable x can take every possible value in a given interval [9][10][11]. The general form of the difference equation is given by [1][2][3][4].…”