Persistence and attractivity in an \(N\)-species ratio-dependent predator-prey system with distributed time delays.
The paper investigates a linear food chain with \(n\) species, in which the Michaelis-Menten predator-prey interaction is altered to include ratio-dependent predation and distributed time delays. The authors give conditions for boundedness and uniform persistence of the solutions. They further provide necessary and sufficient conditions for the existence of a unique positive equilibrium and provide conditions for its global attractivity. The latter proof is based on the construction of a suitable Lyapunov functional.
scientific article; zbMATH DE number 1861151