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financial supporter was Midwest Generation, operator of coal-fired power plants that have been a target for environmental activists.
The stability of (E_{0}) can be described by using the next generation operator method [28, 29].
The continuous and positive operator L, called the next generation operator, represents the density distribution of the accumulative new infections at location x.
Firstly, we introduced the basic reproduction number (R_{0}^{D}) via the next generation operator and associated linear eigenvalue problem, and we further proved that (R_{0}^{D}) served as a threshold parameter which predicts whether the coexistence exists or not.
The basic reproductive number of either the pathogen or fear can be found by calculating the spectral radius of the next generation operator.
The basic reproduction number R0 can be calculated as the dominant eigenvalue of the next generation operator [19] which can be calculated as the dominant eigenvalue of the matrix NDβ where N is a vector of age-group specific population sizes, D is the mean infectious period and β is the per capita transmission rate.
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Stephen Byers, the trade and industry minister, said the early licensing of new generation operators was a vital step toward making Britain "the best place in the world for e-commerce".
I am also proud to be the third-generation operator of that family business.
Using the next-generation operator approach [25, 26], we determine (R_{v}) as R_{v}=frac{beta}{mu tau+kappa+mu)} biggl[frac{mu 1-rho Lambda +omegaLambiggl[frac{mu 1-rho Lambdaamma)}{(gamma+omegaLambda+iggr].
But the sixth-generation operator of a family business that dates back to 1832 believes sleigh bells — and the iconic appeal they evoke at Christmas — can keep the enterprise alive well into the 21st century.
Gruber is the kind of guy whose idea of a vacation in New York is visiting Acme Smoked Fish and comparing notes on the quality of whitefish with its fourth-generation operator Adam Caslow.
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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