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Theorem 4.1 shows that when (sigma_{i}>frac {beta_{i}}{sqrt{2(d+alpha_{i}+r_{i})}}), (i=1,2), two infectious diseases of system (4) die out almost surely, that is to say, large white noise stochastic disturbance can lead to the two epidemics to be extinct.
Despite the propensity of influenza epidemics to be amplified in primary schools (14 ), data on the effectiveness of school closures are limited.
Despite the propensity of influenza epidemics to be amplified in primary schools, data on the effectiveness of school closures for reducing community transmission are contradictory.
In part because of the challenge of ascertaining the true extent of transmission, health departments elsewhere have believed the SARS epidemics to be under control, only to find later that spread had occurred beyond what was recognized.
The traditionally and deliberately non-vaccinating parents both considered epidemics — and particularly polio epidemics — to be an ordeal and feared that their faith would not be sufficiently strong to endure it.
To facilitate research and surveillance, we aimed to develop a definition for localised epidemics to be used in real-time surveillance based on weekly case reports at the health centre level.
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For the epidemic to be contained, the world must recognize that these are universal truths.
It also highlighted the scale of the epidemic to be smaller than previously estimated by UNAids.
By 8 August, it declared the epidemic to be a "public health emergency of international concern".
By August, the World Health Organisation declared the epidemic to be an international public health emergency – the largest outbreak in history.
Framing what's happening here as an epidemic to be stopped at all costs ignores the reality that the criminals involved are people.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com