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The basic reproduction number

2012
The basic reproduction number (or ratio) R₀ is arguably the most important quantity in infectious disease epidemiology. It is among the quantities most urgently estimated for infectious diseases in outbreak situations, and its value provides insight when designing control interventions for established infections.
Odo Diekmann   +2 more
openaire   +2 more sources

The Basic Reproduction Number

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.
openaire   +1 more source

Reproduction numbers in malaria and their implications

Trends in Parasitology, 2012
The malariologist Lewis Wendell Hackett famously observed that, "Like chess, (malaria) is played with a few pieces, but is capable of an infinite variety of situations". This paper discusses one such piece, the Red Queen. Red Queen phenomena arise when an intensification of effort leads to a need for further intensification to maintain the new status ...
Smith, T., Schapira, A.
openaire   +3 more sources

On vaccine efficacy and reproduction numbers

Mathematical Biosciences, 2003
We consider the impact of a vaccination programme on the transmission potential of the infection in large populations. We define a measure of vaccine efficacy against transmission which combines the possibly random effect of the vaccine on individual susceptibility and infectiousness.
openaire   +3 more sources

Target reproduction numbers for reaction-diffusion population models

Journal of Mathematical Biology, 2020
A very important population threshold quantity is the target reproduction number, which is a measure of control effort required for a target prevention, intervention or control. This concept, as a generalization of type reproduction number, was first introduced in Shuai et al.
Xueying Wang, Xiao-Qiang Zhao
openaire   +2 more sources

Reproductive number

2009
Summary: We want to find the reproductive number, \(R_0\), for the three models with a simple method. With this simple method we can find the reproductive number for all of models.
Chaharborj, S. Seddighi   +3 more
openaire   +1 more source

The Basic Reproduction Number for Cellular SIR Networks

Acta Biotheoretica, 2014
The 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
openaire   +2 more sources

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