AN AUGMENTED CLARK MODEL FOR STABILITY OF POPULATIONS

Authors
Citation
G. Mertz et Ra. Myers, AN AUGMENTED CLARK MODEL FOR STABILITY OF POPULATIONS, Mathematical biosciences, 131(2), 1996, pp. 157-171
Citations number
15
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Mathematics, Miscellaneous","Biology Miscellaneous
Journal title
ISSN journal
00255564
Volume
131
Issue
2
Year of publication
1996
Pages
157 - 171
Database
ISI
SICI code
0025-5564(1996)131:2<157:AACMFS>2.0.ZU;2-G
Abstract
A simple modification of a frequently employed age-structured model fo r population dynamics is presented. This augmented formulation allows the assessment of the impact of age-dependent harvest mortality on pop ulation stability. The characteristic frequencies of the predicted osc illations are discussed. The period of oscillation is almost independe nt of survival and the exact functional form of the recruitment functi on, and it is not equal to twice the mean age of mature animals, as su ggested earlier. It is shown that increased survival before reproducti on has a destabilizing influence for populations exhibiting an overcom pensatory recruitment function.