Abstract and Applied Analysis
Volume 2 (1997), Issue 3-4, Pages 207-226
doi:10.1155/S1085337597000353
Local existence for a general model of size-dependent population dynamics
Department of Mathematics, Shimane University, Matsue 690-8504, Japan
Received 30 April 1997
Copyright © 1997 Nobuyuki Kato and Hiroyuki Torikata. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We shall investigate a size structured population dynamics with
aging and birth functions having general forms. The growth rate we deal with depends not only on the size but also on time. We show the existence of a local solution and continuous dependence on the initial data, which shows the uniqueness of the solution as well.