Farkas JZ (2006) On the linearized stability of age-structured multispecies populations. Journal of Applied Mathematics, 2006 (Article ID 60643), pp. 1-8. http://www.hindawi.com/journals/jam/2006/060643.abs.html; https://doi.org/10.1155/JAM/2006/60643
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.
multispecies age-structured populations; stability; food chain; Animal populations Mathematical models.; Population biology
Journal of Applied Mathematics: Volume 2006, Issue Article ID 60643