A delayed three-species predator–prey food-chain model with Michaelis–Menten type functional response is investigated. It is proved that the system is uniformly persistent under some appropriate conditions. By means of constructing suitable Lyapunov functional, sufficient conditions are derived for the global asymptotic stability of the positive equilibrium of the system.
- Uniform persistence
- Lyapunov functional
Xu, R., & Chaplain, M. A. J. (2002). Persistence and global stability in a delayed predator-prey system with Michaelis-Menten type functional response. Applied Mathematics and Computation, 130(2-3), 441-455. https://doi.org/10.1016/S0096-3003(01)00111-4