  In this paper, we study the dynamics of the ratio-dependent type
prey-predator model with different free boundaries. The two free boundaries,
determined by prey and predator respectively, implying that they may intersect
each other as time evolves, are used to describe the spreading of prey and
predator. We mainly investigate the long behaviors of predator and prey. Then
some sufficient conditions for spreading and vanishing are given. In addition,
when spreading occurs, some estimates of asymptotic spreading speeds of u, v
and asymptotic speeds of h, g are provided.
