Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 86, pp. 1-9.

Title: Singular perturbation method for global stability of ratio-dependent 
       predator-prey models with stage structure for the prey
        
Authors: Linfei Nie   (Xinjiang Univ., Urumqi, China)
         Zhidong Teng (Xinjiang Univ., Urumqi, China)

Abstract:
 In this article, a singular perturbation is introduced
 to analyze the global asymptotic stability of positive equilibria
 of ratio-dependent predator-prey models with stage structure for the prey.
 We prove theoretical results and  show numerically that the proposed approach
 is feasible and efficient.

Submitted October 23, 2012. Published April 05, 2013.
Math Subject Classifications: 39A30, 34D23, 34D15.
Key Words: Singular perturbation; stage structure;ratio-dependence; 
           predator-prey; global asymptotically stability.