The Department of Health has been notified of 2,066 new coronavirus cases.
There are 408 people being treated in hospital with the virus, an increase of six from yesterday. The number of patients in intensive care is at 69, a drop of four.
In a statement, the National Public Health Emergency Team said that there had been 26 newly notified Covid-related deaths in last week, bringing the number of such deaths to 5,306.
Chief Executive of the Health Service Executive Paul Reid said although this rise is concerning, it can be reversed.
In a tweet posted this evening, Mr Reid urged people who have not yet been vaccinated to get the jab.
"Covid is still here," he said.
Hospital #Covid19 patients @ approx 400 & 70 in ICU is concerning. We can reverse this rise. If unvaccinated you're putting yourself & others at unneccessary higher risk. Do the right thing & get vaccinated. If vaccinated, please continue to be aware. Covid is still here @HSELive— Paul Reid (@paulreiddublin) October 13, 2021
Deputy Chief Medical Officer Dr Ronan Glynn has said that the incidence of the virus in Ireland is high and still rising.
He said that people who are unvaccinated are at a high risk of contracting Covid-19 and becoming very ill.
Dr Glynn said: "There has been fantastic uptake of Covid-19 vaccination over recent months.
"Unfortunately, there are still just under 300,000 adults who have not come forward for vaccination and a further 70,000 people have received just one dose of a two-dose schedule.
"The spread of disease in these 370,000 people is having a disproportionate impact on the profile of Covid-19 in our hospitals and intensive care units, with two out of every three people in intensive care not vaccinated.
"Incidence of Covid-19 in Ireland is high and rising. Those who are not vaccinated are at high risk of contracting this virus and becoming severely unwell.
"The single most important thing you can do to protect yourself from Covid-19 is to get vaccinated.
"Choosing to get vaccinated is an act of protection for yourself - it may save your life - but it is also an act of solidarity with others; the more of us that get vaccinated, the safer we all are."
Three schools outbreaks of Covid-19 were reported in the week to 9 October, according to the Health Protection Surveillance Centre (HPSC).
It says these outbreaks resulted in 15 linked cases, and is down on the ten schools outbreaks reported the previous week.
Under the mass testing programme, the positivity rate was 3.6% in post primary schools where out of 330 tested, 12 cases were detected in the week to 9 October.
In special education schools, the positivity rate was 6.5%, where out of 46 tested, three cases were detected.
The HPSC said that because close contacts identification and testing is now operational in post-primary schools and special education schools, the information regarding primary schools is presented in the overall cases seen among 0-18 year-olds.
Overall, there were 9,531 Covid-19 cases reported in the week among those aged 0-18 years.
Of these 1,349, or 14.2%, were in children aged 5-12 years.
In Northern Ireland, there were 1,471 new coronavirus infections and one further death reported today.
Positivity rate for Covid in community starting to rise - HSE
The Health Service Executive National Lead for Testing and Tracing said the positivity rate for Covid-19 in the community has started to rise.
Niamh O'Beirne said the rate is currently at 10%, with some counties reporting rates of up to 15%, adding that there has been a change in the trend in the past six or seven days.
Also today it was reported that Covid-19 was detected in wastewater samples from all of the 68 wastewater catchment areas analysed in the week to 2 October.
The Health Protection Surveillance Centre said the results are in keeping with the high incidence rate of Covid-19 currently being seen throughout Ireland.
Meanwhile, the Minister for Foreign Affairs has said that the Government remains on track to move ahead with the removal of Covid-19 restrictions on 22 October unless "compelling evidence" on rising infection rates suggests that approach should change.
Simon Coveney said Chief Medical Officer Dr Tony Holohan, senior NPHET members and civil servants are currently assessing the situation in hospitals, ICUs and in the community.
Concern was expressed at a meeting of the Senior Officials Group on Covid-19, about whether the latest figures on Covid-19 represent a blip or a trend.
Today's meeting included the secretaries general of Government departments, Dr Glynn and chair of the NPHET Epidemiological Modelling Advisory Group Professor Philip Nolan.
Additional reporting Fergal Bowers