On the basic reproduction number of general branching processes

DOI10.1016/S0252-9602(09)60087-4zbMath1212.60155OpenAlexW2054864308MaRDI QIDQ979472

Suyong Sun, Zhi-Ming Ma, Guo-lie Lan

Publication date: 8 July 2010

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(09)60087-4

zbMATH Keywords

spectral radiusextinction probabilitybasic reproduction numberSIR modelgeneral branching processreproduction kernelTNC condition

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

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