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

Nobuyuki Kato and Hiroyuki Torikata

 Department of Mathematics, Shimane University, Matsue 690-8504, Japan
Received 30 April 1997

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.