Global asymptotical stability of the positive equilibrium of the Lotka–Volterra prey–predator model incorporating a constant number of prey refuges

We investigate the stability property of the positive equilibrium for Lotka–Volterra predator–prey systems incorporating a constant number of prey refuges. By constructing a suitable Lyapunov function, a set of sufficient conditions which ensure the global asymptotical stability of the positive equilibrium is obtained. Our result complements and supplements some known ones.