Thousands have marched in Algerian cities and towns in protest at the 82-year-old's plan to stay in office despite years of ill health in which he has largely dropped out of public view. Some 6,000 also protested in Paris, where many Algerians live.
ALGIERS-President of the Republic Abdelaziz Bouteflika, candidate in the presidential elections of 18 April 2019, on Sunday committed to organizing an early presidential election in accordance with the timetable set by the independent national conference, in the event of his re-election, and affirmed that "he would not be a candidate in this election that will ensure his succession".
Demonstrations were also held in other cities against another term for Bouteflika, who has barely been seen in public since a 2013 stroke and is facing protests over his leadership of Africa's largest country.
His decision to seek a fifth term in office sparked nationwide protests.
Elevated security measures were in place in the city and especially around the Constitutional Council.
Thousands of students gathered on Sunday at university faculties, one of them near the Constitutional Council where presidential candidates filed their papers, chanting: "No to a fifth term!" or "A free and democratic Algeria!".
An analyst who declined to be identified said Sellal's sacking could be a tactic to calm the growing protest movement against Bouteflika's bid for a fifth term.
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There are no legal requirements for candidates to be physically present to submit their bid to the Constitutional Council, but on Sunday, the head of election commission said all candidates must submit the application in person.
"After the presidential elections, I will immediately ask for a national conference to discuss and adopt political, institutional, economic and social reforms to form the basis of the new reformist system of the Algerian national state", said the letter citing the president.
On Sunday, police deployed massively around the council and the road leading to it was blocked. By nightfall young people were again marching in the capital Algiers despite the president's offer. The latest, on Sunday, saw thousands take to the streets in Algiers and other cities across the country.
Mr Bouteflika came to power in 1999 and is credited with putting an end to a civil war that is estimated to have killed more than 100,000 people.
According to a police toll, 56 police officers and seven demonstrators were hurt and 45 alleged stone-throwers were arrested in Algiers. The day was accompanied by country-wide protests of mostly students.
Reporters at state radio have complained that their employers have ceased coverage of the protesters, as journalists have also taken to the streets in order to protest against censorship.