Mathematical model of the population dynamics of brood parasitism: what is the benefit for the host?

The problem of how the system of a brood-parasite with parasite-accepting host (i.e. a host that accepts a parasite’s eggs) exists in stable equilibrium, is considered. We analyse a mathematical model of host-parasite population dynamics for this system, corresponding to certain cases of brood-parasitic animals where brood-parasitization causes drastic failure of the reproduction of the brood-parasitized host, and discuss the possible benefit to the persistence of a parasite-accepting host from the viewpoint of population dynamics.