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An example based on an infectious disease where the current infection transmission depends on the time evolution of the proportion of infectious is analysed.
According to the epidemic model presented in [18], we consider that x t) be the proportion of infectious individuals at the moment s, f(x s)) be the proportion of new infected cases on unit time, and g(t) be the proportion of immigrants that still have the disease at the moment t.
On the n 1 th day, the proportion of infectious population is large enough so that the whole population has to begin to take preventive measures in order to reduce the probability of transmission so that the impact of the disease be attenuated.
where n 2 denotes the eventual day on which the proportion of the infectious population is smaller than a lower bound z inf (for instance, if the value z inf = 0.025 is used, then the time-varying probability given by (5.6) is maintained until the day on which the average proportion of infectious population within a week is smaller than 2.5% of the whole population).
The consequence is a decline in epidemic curve by decreasing the proportion of infectious birds (Figure 1A).
High coverage also achieves better impact on parasite prevalence, although the actual reduction in the proportion of infectious people is minimal (Figure 4B).
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While the exact proportions of infectious and non-infectious virus circulating in vivo remain the subject of some controversy.
which describes the dynamics of the normalised infectious population which is the proportion of the infectious population with respect to the whole population.
Finally, Figure 3 displays the time evolution of the proportion of the infectious population for three different values for the probability of transition from the infectious population to the susceptible one.
In a more realistic situation, the probability of transmitting the infection from an infectious individual to a susceptible one can depend on the time evolution of the proportion of the infectious population.
On day 1 all patients in the trial were infectious to Anopheles dirus mosquitoes, but after a dose of PQ on day 1 the proportion of people infectious was reduced to 0 when measured on days 2, 5 and 8 (Analysis 1.3).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com