文摘
A diffusive predator-prey system with modified Holling-Tanner functional response and no-flux boundary condition is considered in this work. A sufficient condition which ensures persistence of the system is obtained. Furthermore, sufficient conditions for the global asymptotical stability of the unique positive equilibrium of the system are derived by using a comparison method. It is shown that our result supplements and complements one of the main results of Shi et?al. [H.B.?Shi, W.T.?Li, G.?Lin, Positive steady states of a diffusive predator-prey system with modified Holling-Tanner functional response, Nonlinear Analysis: Real World Applications 11 (2010) 3711-3721].