Necessary and sufficient conditions for \(R_0\) to be a sum of contributions of fertility loops

DOI10.1007/s00285-012-0575-0zbMath1329.92109OpenAlexW2086303757WikidataQ51322368 ScholiaQ51322368MaRDI QIDQ1944632

Claus Rueffler, J. A. J. (Hans) Metz

Publication date: 26 March 2013

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-012-0575-0

zbMATH Keywords

matrix modelsbasic reproduction ratioinvasionconservation\(R_0\)population persistence

Mathematics Subject Classification ID

Problems related to evolution (92D15) Population dynamics (general) (92D25)

Related Items (4)

The many guises of \(R_0\) (a didactic note) ⋮ A general theory for target reproduction numbers with applications to ecology and epidemiology ⋮ On the concept of individual in ecology and evolution ⋮ Environmental dimensionality determines species coexistence

Cites Work

• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• Applications of Perron-Frobenius theory to population dynamics
• What life cycle graphs can tell about the evolution of life histories
• On the concept of individual in ecology and evolution
• A new method for calculating net reproductive rate from graph reduction with applications to the control of invasive species
• Matrix Analysis
• A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms
• Unnamed Item

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