Stability in a predator–prey model with Crowley–Martin function and stage structure for prey

摘要

This paper is concerned with a stage-structured predator–prey system with Crowley–Martin functional response. By analyzing the characteristic equation, the local stability of the equilibria is investigated. The persistence of system and global asymptotic stability of the positive equilibrium are carried out. Finally, several numerical simulations to illustrate the theoretical analysis are also given.