- Universal Journal of Mathematics and Applications
- Vol: 1 Issue: 1
- Separable solutions to a brood-parasite dynamics model
Separable solutions to a brood-parasite dynamics model
Authors : Vladas Skakauskas
Pages : 10-16
Doi:10.32323/ujma.376483
View : 21 | Download : 11
Publication Date : 2018-03-11
Article Type : Research
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.Keywords : separable solutions, age-structured population, Differential equations, child care, brood parasites