basic reproduction number

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basic reproduction number

A metric used in epidemiology, which corresponds to the mean number of new cases of infection linked to a person infected shortly after the pathogen was introduced into a population with no pre-existing immunity, in absence of interventions to control the infection. The basic reproduction number is a dimensionless parameter which encapsulates the biological details of different transmission mechanisms.

For microparasites, Ro is defined as the average number of secondary cases of infection to which one primary case gives rise throughout its infectious period if introduced into a defined population consisting solely of susceptible individuals; for macroparasites, Ro is the average number of female offspring (or offspring for hermaphroditic species) produced throughout the lifetime of a mature female parasite, which themselves achieve reproductive maturity in the absence of density-dependent constraints on the parasite establishment, survival or reproduction
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(1) The average number of infections a person spreads while they are infected with a virus, in a susceptible population, is the basic reproductive ratio (R0).
Estimating the basic reproductive ratio for the Ebola outbreak in Liberia and Sierra Leone.
Wahl, "Perspectives on the basic reproductive ratio," Journal of the Royal Society Interface, vol.
The basic reproductive ratio of the virus for model (2) is [R.sub.0] = N[beta][lambda][[lambda].sub.1]/cd[gamma].
We can compute the values of the infection-free equilibrium [E.sub.0] and the basic reproductive ratio, [E.sub.0] = (20,0, 0,9.0909) and [R.sub.0] = 0.90909 < 1.
Finally, by using the basic reproductive ratio [R.sub.0] = N[beta][lambda][[lambda].sub.1]/cd[gamma], let us give some simple discussions on the interactions between the protein DPP4 and the virus infection.
Mathematical analysis for equilibrium points and basic reproductive ratio is shown in Section 2.
For mathematical analysis of the equilibrium points and construction of the basic reproductive ratio which will be discussed in the next section, we first consider that these control variables [u.sub.1](t) and [u.sub.2](t) are constant.
Basic Reproductive Ratio. Using the next generation matrix operator approach in [9], we compute the basic reproductive ratio [R.sub.0] which is associated with the disease-free equilibrium (DFE).
In addition, pathogen evolution may greatly affect the likelihood of disease emergence by increasing the pathogen's basic reproductive ratio ([R.sub.0]) (18,26).
In a deterministic model, the invasion and persistence thresholds are the same and are determined by the pathogen's basic reproductive ratio ([R.sub.0]); if [R.sub.0]>1, an initial infection can both become established and persist.
This is because changing the partner acquisition rate multiplicatively changes the basic reproductive ratios of all strains, so that their relative magnitudes remain the same.
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