The DuPont Co. and ConAgra Inc. — two of the country’s corporate giants — contend in suits filed in Wilmington that a Delaware company is wrongfully using their names and logos to tout a dietary supplement that allegedly bolsters the human immune system.

In suits filed in U.S. District Court, Wilmington-based chemical and life-sciences giant DuPont and Omaha, Neb.-headquartered ConAgra, the world’s second-largest food company, allege that Talleyville-based DCV Inc. and one of its units is trying to mislead consumers into believing that DuPont and ConAgra are backing the dietary supplement, marketed under the “BioChoice” brand.