On second order sensitivity for stage-based population projection matrix models

DOI10.1016/j.tpb.2008.04.008zbMath1210.92038OpenAlexW2045209114WikidataQ47581199 ScholiaQ47581199MaRDI QIDQ615502

Stuart Townley, Dave J. Hodgson, Dominic McCarthy

Publication date: 5 January 2011

Published in: Theoretical Population Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tpb.2008.04.008

zbMATH Keywords

sensitivitytransfer functionconvexitystructured perturbationspopulation projection matrices

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Mathematical geography and demography (91D20)

Cites Work

• Derivatives of the Perron root at an essentially nonnegative matrix and the group inverse of an M-matrix
• Robustness: Predicting the effects of life history perturbations on stage-structured population dynamics
• Convexity and log convexity for the spectral radius
• Derivatives of the spectral radius as a function of non-negative matrix elements
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