On the age-dependent predator-prey model
Volume 38 / 2011
Applicationes Mathematicae 38 (2011), 453-467
MSC: Primary 35F50; Secondary 92D25, 35B10, 35R09.
DOI: 10.4064/am38-4-4
Abstract
The paper deals with the description of a model which is the synthesis of two classical models, the Lotka–Volterra and McKendrick–von Foerster models. The existence and uniqueness of the solution for the new population problem are proved, as well the asymptotic periodicity but under some simplifying assumptions.
