Singular perturbation method for global stability of ratio-dependent predator-prey models with stage structure for the prey

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.

Keywords

• Singular perturbation
• stage structure
• atio-dependence
• predator-prey
• global asymptotically stability