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

Jozsef Z. Farkas

 Department of Mathematical Sciences, The Universityof Memphis, Memphis 38152, TN, USA
Received 3 February 2006; Revised 24 April 2006; Accepted 8 May 2006

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.