Persistence and global stability for \(n\)-species ratio-dependent predator-prey system with time delays. (Q1856895)

The authors study an \(n\)-species predator-prey system with time delays where the interaction terms are of Michaelis-Menten type. They derive conditions for the existence of a unique positive equilibrium solution. Then they derive conditions for the system to be uniformly persistent. Finally they construct a Lyapunov functional for the above system and use it to prove that, under some conditions, its positive equilibrium is globally asymptotically stable.