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Reproduction numbers in malaria and their implications
Trends in Parasitology, 2012The 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.
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On the Reproduction Number of a Gut Microbiota Model
Bulletin of Mathematical Biology, 2017A spatially structured linear model of the growth of intestinal bacteria is analysed from two generational viewpoints. Firstly, the basic reproduction number associated with the bacterial population, i.e. the expected number of daughter cells per bacterium, is given explicitly in terms of biological parameters.
Carles Barril +2 more
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The measurement of the reproduction number
2021The German Robert Koch Institute aims to "protect the population from disease and improve their state of health" (RKI 2017). To this end, it develops concrete, research-based recommendations for policymakers and makes data available to the expert public.
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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
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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
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On vaccine efficacy and reproduction numbers
Mathematical Biosciences, 2003We 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.
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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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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
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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
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Epidemic models with uncertainty in the reproduction number
Journal of Mathematical Biology, 2012One of the first quantities to be estimated at the start of an epidemic is the basic reproduction number, R₀. The progress of an epidemic is sensitive to the value of R₀, hence we need methods for exploring the consequences of uncertainty in the estimate.
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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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Calculation of the effective reproduction number
International Journal of Modern Physics CThe basic reproduction number [Formula: see text] is a key epidemiological quantity, representing the expected number of new cases obtained from receiving a pathogen from one infected individual in totally susceptible population. Here is studied the effective reproduction number [Formula: see text] as its generalized version, by considering that in the
Lasko Basnarkov, Florin Avram
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