Dynamic analysis for a stage-structure competitive system with mature population harvesting

In this paper, a stage-structured model of two-species competitive system with mature population harvesting is formulated. Mathematical analysis of the model equations with regard to invariance of positivity, boundedness of solutions and the conditions for the existence of equilibria is analyzed. The dynamical properties of equilibria are investigated, and conditions of globally asymptotically stable and absolutely stable for the equilibria are obtained.