On the linearized stability of age-structured multispecies populations
Author(s) -
József Z. Farkas
Publication year - 2006
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/jam/2006/60643
Subject(s) - stability (learning theory) , mathematics , computer science , machine learning
We consider a general nonlinear age-structured population model with ninteracting species. We deduce the characteristic function in the form of adeterminant of an n-by-n matrix. Then we formulate some biologically meaningfulsufficient conditions for the stability (resp., instability) of positivestationary solutions of the system
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