The phrase "a week of continuous" is correct and usable in written English.
It can be used to describe a duration of time that is uninterrupted or ongoing for a week.
Example: "After a week of continuous rain, the streets were flooded and travel became difficult."
Alternatives: "a week of uninterrupted" or "a week of constant".
The students have road-tested their designs on a number of Cleveland's potholes and found that the bags continue to perform well after more than a week of continuous use in high-traffic areas.
In the lobby, an exhibition of King Kong memorobilia was opened, and a week of continuous showings of the film began.
It contains 2648 titles— roughly a week of continuous total play time and covers the time span from 1983 until now.
The Sunday morning talk shows have finished dissecting last week's events in Boston wrapping up a week of continuous news coverage.
The Bush administration is growing increasingly alarmed by the direction of the military campaign in Afghanistan after a week of almost continuous bombing has failed to dislodge either Osama bin Laden or the Taliban leadership.
The Great Escape After a week of sleeping in the continuous white light of ceiling lamps and the flicker of the perpetual "Titanic" showing, Blyth realized time was running out.
All mice reached stable running during the second week of continuous exposure to a standard wheel, showing a typical training curve.
The average delay between the first week of continuous detection of influenza virus A and continuous detection of ORV was 5.7 weeks (range 0 15, 95% CI 2.8 8.4).
The average European delay between the first week of continuous detection of influenza virus A and of ORV was calculated as the average of the differences in number of weeks between both, by country.
A maximum interruption of 1 week with no influenza virus A or ORV detection was allowed in estimating the first week of continuous detection.
We applied this method to one week of continuous data during the 2011 Mw9.1 Tohoku-Oki mainshock.
