Inequalities on the spectral abscissa for matrices arising in a stage-structured population model

DOI10.1016/j.laa.2016.01.001zbMath1332.15045OpenAlexW2274312207MaRDI QIDQ252605

Alan Hastings, Pauline van den Driessche

Publication date: 3 March 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.01.001

zbMATH Keywords

spectral abscissa\(\mathcal{M}\)-matrixstage-structured matrix

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Ecology (92D40)

Cites Work

• Monotone dependence of the spectral bound on the transition rates in linear compartment models
• Nonnegative matrices, zero patterns, and spectral inequalities
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• Unnamed Item

This page was built for publication: Inequalities on the spectral abscissa for matrices arising in a stage-structured population model