The Stability of Gauss Model; Having Harvested Factor

Scientists are interesting to nd out how to use living resources without damaging the ecosystem at the same time. Since the living resources are limited therefore above question is one of important problems that mathematician scientists try to investigate and in appropriate ways to solve this problem. Regarding to the harvested rate is used as control parameters and moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey Gauss models in which two ecologically interacting species are harvested independently with constant or variable rates has been considered and the behavior of locally and globally stability of their solutions have been investigated. The main aim is to present a mathematical analysis for the above model. Finally we investigate some examples.