ANALYSIS OF PREY PREDATOR INTERACTION WITH HARVESTING SYSTEM ON MATHEMATICAL MODELLING

Abstract

In the Modern World, everything will be systematically developed by using best modelling. In our article we will prepare and analyzed in the area of Dynamics of System of Two Prey and One Predator by using Holling Type – II Functional Response, and we designed the model such as First Prey and the Second prey a ratio – dependent response, where harvesting of each prey species is taken into consideration. And also, the model is used to study the Ecological Dynamics of the Fox – Antelope – Rabit (FAR) in a given habitat. We also focus the effect of harvesting on prey species. We discussed Local and Global Stability Analysis of the system were carried out, and also we analyze numerical simulation for particular variables and then, we conclude and show that the Result of Analysis of our model that the Three Species would co – exist if the Antelope and Rabbit were not harvesting beyond their Intrinsic Growth Rate (IGR).