Abstract and Applied Analysis
Volume 5 (2000), Issue 3, Pages 191-206
doi:10.1155/S108533750000035X
Positive global solutions for a general model of size-dependent population dynamics
Department of Mathematics, Shimane University, Matsue, Shimane 690-8504, Japan
Received 12 December 2000
Copyright © 2000 Nobuyuki Kato. 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 study size-structured population models of general type which
have the growth rate depending on the size and time. The local existence and uniqueness of the solution have been shown by Kato and Torikata (1997). Here, we discuss the positivity of the solution and global existence as well as L ∞ solutions.