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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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The Basic Reproduction Number for Cellular SIR Networks
Acta Biotheoretica, 2014The basic reproduction number R0 is the average number of new infections produced by a typical infective individual in the early stage of an infectious disease, following the introduction of few infective individuals in a completely susceptible population. If R0 1 the infection can invade the host population and persist. This threshold quantity is well
Aboubakar, Sidiki, Maurice, Tchuente
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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.
Wendi Wang 0001, Xiao-Qiang Zhao
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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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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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Preliminary Estimation of the Basic Reproduction Number of SARS-CoV-2 in the Middle East
ISSUE TEN, 2020Up to April 9, 2020, 142490 cases have been confirmed as COVID-19 infection including 5705 associated deaths in the Middle East. Most of the countries, such as Qatar, Bahrain, Iraq, Kuwait, United Arab Emirates (UAE), Oman, Lebanon, and Saudi Arabia have
B. Rahman +3 more
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The estimation of the basic reproduction number for infectious diseases
Statistical Methods in Medical Research, 1993The basic reproduction number Ro is the number of secondary cases which one case would produce in a completely susceptible population. It depends on the duration of the infectious period, the probability of infecting a susceptible individual during one contact, and the number of new susceptible individuals contacted per unit of time.
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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 $$R_0$$ 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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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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