Separable solutions to a brood-parasite dynamics model

Abstract

Common Cuckoo is a brood-parasite which lays its egg in the nest of other bird species and use them to raise its young. We present a Common Cuckoo and a host bird interaction deterministic model taking into account maternal care of offspring. The model consists of a coupled system of integro-partial differential equations subject to the conditions of the integral type. Number of equations in the system depends on a biologically possible maximal number of eggs of the same clutch laid by a host bird. Separable solutions of this model are studied.