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2022
The reproduction number is an important tool in infectious disease epidemiology that conveys both the present status of the disease and the likelihood of it persisting in the future. Next-generation matrices (NGMs) serve as a natural basis for defining and calculating the categories of individuals that can be recognized.
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The reproduction number is an important tool in infectious disease epidemiology that conveys both the present status of the disease and the likelihood of it persisting in the future. Next-generation matrices (NGMs) serve as a natural basis for defining and calculating the categories of individuals that can be recognized.
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Basic Reproduction Numbers for Reaction-Diffusion Epidemic Models
SIAM Journal on Applied Dynamical Systems, 2012Summary: The theory of the principal eigenvalue is developed for an elliptic eigenvalue problem associated with a linear parabolic cooperative system with some zero diffusion coefficients. Then the basic reproduction number and its computation formulae are established for reaction-diffusion epidemic models with compartmental structure.
Wang, Wendi, Zhao, Xiao-Qiang
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Basic reproduction number of epidemic models on sparse networks
Physical Review E, 2022The basic reproduction number R_{0} is a standard indicator of infection control in epidemiology. Although R_{0} has been studied extensively for deterministic epidemic models, it has not been formulated accurately for models adopting network structures.
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Further Notes on the Basic Reproduction Number
2008The basic reproduction number, R0 is a measure of the potential for disease spread in a population. Mathematically, R0 is a threshold for stability of a disease-free equilibrium and is related to the peak and final size of an epidemic. The purpose of these notes is to give a precise definition and algorithm for obtaining R0 for a general compartmental ...
P. van den Driessche, James Watmough
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The basic reproduction number (R0) of measles: a systematic review
The Lancet Infectious Diseases, 2017The basic reproduction number, R nought (R0), is defined as the average number of secondary cases of an infectious disease arising from a typical case in a totally susceptible population, and can be estimated in populations if pre-existing immunity can be accounted for in the calculation.
Fiona M, Guerra +6 more
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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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On estimating the basic reproduction number forSchistosoma haematobium
Tropical Medicine & International Health, 1996SummaryExisting estimates of the basic reproduction number,Ro, for human schistosomes are mostly in the range 1–4, implying that schistosomes should be relatively easy to eliminate from endemic areas, which is contrary to practical experience. An estimate ofRofor a site in Zimbabwe is obtained here using a mathematical model explicitly incorporating ...
M E, Woolhouse +2 more
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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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The basic reproduction number $$R_0$$ in time-heterogeneous environments
Journal of Mathematical Biology, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Basic Reproduction Number of Reaction-Diffusion Epidemic Models
SIAM Journal on Applied Mathematics, 2019Summary: The basic reproduction number \(R_0\) serves as a threshold parameter of many epidemic models for disease extinction or spread. The purpose of this paper is to investigate \(R_0\) for spatial reaction-diffusion partial differential equation epidemic models.
Pierre Magal, Glenn F. Webb, Yixiang Wu
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