Martin's mother expresses confidence in prosecutor

Sybrina Fulton, mother of Trayvon Martin, appears on "CBS This Morning" Tuesday, April 10, 2012.

(CBS News) The mother of Trayvon Martin said Tuesday she believes special prosecutor Angela Corey's decision to forgo a grand jury will not hamper the investigation into the shooting death of her son.

"I just feel that it's going to give Miss Corey's office a chance to do a thorough investigation, and it will be in her hands," Sybrina Fulton said on "CBS This Morning."

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Her attorney, Ben Crump, said he believes not sending the case to the grand jury indicates that the special prosecutor already has enough evidence to press charges. "We've always believed there has been enough evidence, and in the last 43 days we think it's only gotten more compelling that [George Zimmerman] at least needs to be arrested. He'll have his day in court, but Sybrina and Tracy [Trayvon Martin's father] have always said, they just want simple justice."

Crump also criticized the defense attorneys of Zimmerman, who in a previous appearance on "CBS This Morning" claimed Zimmerman had been attacked by the teenager and had likened his condition to Shaken Baby Syndrome. "They're grasping at straws," he said. "We need to have him arrested and there needs to be a trial, and the arrest needs to happen immediately, and we believe Miss Corey now is going do that since she's gotten rid of the grand jury."

When asked by Gayle King if the prosecutor has indicated whether an arrest will soon happen, Fulton replied, "She actually said they're going to be wrapping up the investigation soon. She never said whether she was going to arrest him or not. She just assured us that she would do a thorough investigation, and we just truly believe that after the investigation is completed that he will be arrested. We just have faith that he will be arrested."

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Reading "the prosecutorial tea leaves," CBS News senior correspondent John Miller said that Corey has a history of prosecuting people she feels are falsely invoking Florida's "Stand Your Ground" law as a self-defense.

Watch Miller's full analysis in the video below

Miller noted that last month Corey prosecuted a road rage incident in Jacksonville in which one man claims he felt threatened by another man and fatally shot him.

"In that case the shooter is white, the victim is black. He claims self defense and she's prosecuting him anyway," said Miller. "That is not the only time she has done this. I think what we're seeing here is a prosecutor who has a reputation for being independent, for making controversial calls and for taking on this law."

To watch the complete interview with Sybrina Fulton and Ben Crump, watch the video in the player above.