The role of linear type of harvesting on two competitive species interaction

Abstract

Harvesting's effect on living organisms is one of the most important factors affecting the way they reproduce. In this paper, we proposed a mathematical model to study the effect of harvest on two species with competition between them. The Holling type –II functional response has been considered, four equilibrium points are biologically accepted, The locall stability of these points was analyzed , and The stability of the positive point was analyzed locally and globally. the local bifurcation of the system at these points was also  studied, and they were all of the type saddle-node bifurcation. In addition, the persist conditions were found. Finally, the system was analyzed numerically.