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The basic reproduction number $$R_0$$ in time-heterogeneous environments
Journal of Mathematical Biology, 2019In the previous paper (Inaba in J Math Biol 65:309-348, 2012), we proposed a new (most biologically natural) definition of the basic reproduction number R 0 for structured population in general time-heterogeneous environments based on the generation evolution operator. Using the mathematical definition for cone spectral radius, we show that our R 0
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Basic Reproduction Number $$R_0$$
2017The basic reproduction number \(R_0\) plays a central role in structured population dynamics. Although some roots of \(R_0\) can be traced back to the nineteenth century, the specific concept was introduced to the demography literature in 1925. It took a further half century for this number to mature as a key concept in mathematical epidemiology, and ...
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Some limitations on the use of the basic reproduction number
Journal of Difference Equations and ApplicationsPatrick De Leenheer
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The basic reproductive number of tick–borne encephalitis virus
Journal of Mathematical Biology, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On a new perspective of the basic reproduction number in heterogeneous environments
Journal of Mathematical Biology, 2011Although its usefulness and possibility of the well-known definition of the basic reproduction number R0 for structured populations by Diekmann, Heesterbeek and Metz (J Math Biol 28:365-382, 1990) (the DHM definition) have been widely recognized mainly in the context of epidemic models, originally it deals with population dynamics in a constant ...
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Basic Reproduction Number of Rabies Model with Stage Structure
Acta Applicandae Mathematicae, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Asymptotic Behavior of the Basic Reproduction Ratio for Periodic Reaction-Diffusion Systems
SIAM Journal on Mathematical Analysis, 2021Xiao-Qiang Zhao
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Estimation of COVID-19 basic reproduction ratio in a large urban jail in the United States
Annals of Epidemiology, 2021Margaret Brandeau +2 more
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Preliminary prediction of the basic reproduction number of the Wuhan novel coronavirus 2019-nCoV
Journal of Evidence-Based Medicine, 2020Xin Lu, Tao Zhou, Kexin Yang
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