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Age-dependent single-species population dynamics with delayed argument

✍ Scribed by Antoni Leon Dawidowicz; Anna Poskrobko

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
237 KB
Volume
33
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by M. Lachowicz

The model of age-dependent population dynamics was for the first time described by McKendrick (1926). This model was based on the first-order partial differential equation with the standard initial condition and the non-local boundary condition in integral form. Gurtin and MacCamy in their paper (1974) analyzed a more general model, where the progress of the population depends on its number. They proved the existence of the unique solution to their model for all time. In our paper the results of Gurtin and MacCamy will be generalized on the case, when the dependence on a number of a population is delayed.

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