A numerical method for finding positive solution of diffusive logistic equation with constant yield harvesting

We consider a reaction–diffusion equation Δu(x)+au(x)-bu(x)2-ch(x)=0Δu(x)+au(x)-bu(x)2-ch(x)=0 with Dirichlet boundary condition. By using a numerical method based on sub–super solution, we will show the existence of positive solution.