Journal of Applied Mathematics
Volume 2006 (2006), Article ID 60643, 8 pages
doi:10.1155/JAM/2006/60643
On the linearized stability of age-structured multispecies populations
Department of Mathematical Sciences, The Universityof Memphis, Memphis 38152, TN, USA
Received 3 February 2006; Revised 24 April 2006; Accepted 8 May 2006
Copyright © 2006 Jozsef Z. Farkas. 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 consider a general nonlinear age-structured population model with n interacting species. We deduce the characteristic function in the form of a determinant of an n-by-n matrix. Then we formulate some biologically meaningful sufficient conditions for the stability (resp., instability) of positive stationary solutions of the system.