A man kneels to say a prayer outside convenience store on Evangeline Thruway where a man was shot and killed by Lafayette Police.

Louisiana State Police are investigating the death of Trayford Pellerin, a 31-year-old Black man who was fatally shot Friday night during an encounter with officers from the Lafayette Police Department.

Officers were called to a Lafayette convenience store shortly after 8 p.m. Friday to respond to a "disturbance involving a person armed with a knife," according to a statement from the Louisiana State Police.

The police found Pellerin in the store's parking lot with a knife, the statement says. When officers tried to apprehend him, Pellerin left and officers followed on foot.

The police used Tasers as they pursued him, the statement says, "but they were ineffective."

The officers shot Pellerin as he tried to enter a convenience store along NW Evangeline Thruway, according to Louisiana State Police. Pellerin was taken to a hospital where he was pronounced dead.

State police said no officers were injured and that the investigation is "active and ongoing." No further information was available.

Asked for comment, the Lafayette Police Department referred CNN to the Louisiana State Police Bureau of Investigation, which is leading the investigation following a request Friday from the Lafayette police.

Pellerin's death comes near the end of a summer that has seen widespread protests and outrage over racial injustice and police brutality following the police killings of Black people like George Floyd in Minneapolis and Breonna Taylor in Louisville, Kentucky.

Civil rights attorney Benjamin Crump said in a statement sent to CNN that he was among the lawyers representing Pellerin's family. Crump called for the officers involved to be fired.

Protesters marched through a Louisiana city holding signs and at times blocking traffic in response to the fatal police shooting of a Black man that has heightened tensions between community activists and local leaders. https://t.co/U7uppmrKbD

— ABC News (@ABC) August 24, 2020

"We refuse to let this case resolve like so many others: quietly and without answers and justice," said Crump, who also represents the families of Floyd and Taylor."

The family, and the people of Lafayette, deserve honesty and accountability from those who are sworn to protect them -- the Lafayette police," he added.