Since his father's death, Osita has not been able to cope with the tasks of a family head
Explanation
cope with simply means (of a person) to deal effectively with something difficult.
to deal successfully with a difficult situation: Example
It must be really hard to cope with three young children and a job.
It's only been a year since he died - how's she coping?
He had so much pressure on him in his job that eventually he just couldn't cope.
Synonyms
contend, deal, manage
Manage as a verb has to do with, to succeed in doing or dealing with something, especially something difficult: