\(M\)-matrices and local stability in epidemic models

DOI10.1016/S0895-7177(02)00178-4zbMath1023.92024OpenAlexW1969670067MaRDI QIDQ1410123

L. Esteva-Peralta, Jorge X. Velasco-Hernández

Publication date: 14 October 2003

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(02)00178-4

zbMATH Keywords

basic reproduction numbermonotone dynamical systemsepidemiological modelsM-matricesgonorrhea model

Mathematics Subject Classification ID

Epidemiology (92D30) Dynamical systems in biology (37N25) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Asymptotic properties of solutions to ordinary differential equations (34D05) Basic linear algebra (15A99)

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Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Stability of the endemic equilibrium in epidemic models with subpopulations
• A deterministic model for gonorrhea in a nonhomogeneous population
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• Unnamed Item