A ratio-dependent predator-prey model with stage structure forthe prey is proposed and analyzed, which improves the assumptionthat each individual prey has the same ability to be captured bypredator. In this paper, mathematical analysis of the modelequations with regard to boundedness of solutions, nature of equilibria, permanence are analyzed. We obtain conditions thatdetermine the permanence of the populations. Furthermore, weestablish necessary and sufficient conditions for the localstability of the positive equilibrium of the model. By theapplication of comparing argument and exploiting the monotonicityof one equation of the model, we obtain sufficient conditions for the global attractivity of positive equilibrium.
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Song et al. (2004) studied this question.