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
References in periodicals archive ?
The Anthrax only model has a unique endemic equilibrium whenever the basic reproduction number ([R.sub.0a]) is greater than one ([R.sub.0a] > 1).
The basic reproduction number can be defined as the expected number of secondary infections that result from introducing a single infected individual into an otherwise susceptible population [29].
Watmough, "Further notes on the basic reproduction number," in Mathematical Epidemiology, pp.
In Figure 4, we show the tendency of passive worm propagation when the basic reproduction number [R.sub.0] = 0.8914 < 1.
Further, the basic reproduction number has been investigated.
From the overall trend of each rail line, when the basic reproduction number is bigger than 1, the rumors will be spread, which means the positive equilibrium point is globally asymptotically stable.
If the incidence rate function is not affected by the number of vector populations, we find that there is always a unique positive equilibrium when the basic reproduction number [R.sub.0] is less than one, and there are two endemic equilibria or no positive equilibrium when [R.sub.0] is more than one.
If the basic reproduction number falls below one ([R.sub.0] < 1), i.e.
As in [20], [R.sub.0] can be rewritten as [R.sub.0] = [R.sub.01] + [R.sub.02], where [R.sub.01] = k[[eta].sub.1][[eta].sub.2]f([lambda]/d, 0, 0)/a[mu] is the basic reproduction number corresponding to virus-to-cell infection mode and [R.sub.02] = [[eta].sub.1]g([lambda]/d,0)/a is the basic reproduction number corresponding to cell-to-cell transmission mode.
Basic reproduction number ([R.sub.0]) is an important parameter in epidemiological cases.
We analyze the model for pneumonia transmission to determine the basic reproduction number [R.sup.0] and other threshold parameters for pneumonia dynamics.
The basic reproduction number ([R.sub.0]) of the system (1) is then calculated by using the next generation matrix approach in [23, 24] (see in Supplementary Materials for detail (available here)):
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