The term for special care of a dying person is:

Respite care offers temporary relief for caregivers, allowing them to take breaks while ensuring that the patient receives necessary support. While important, it is not specific to the care of dying individuals and is more oriented toward long-term caregiving situations rather than end-of-life care.

Continuous supportive care refers to an ongoing provision of care that may include various health services to assist patients with chronic conditions or disabilities. Although this type of care can be beneficial, it does not specifically address the unique needs of dying individuals, which are central to hospice care.

Rehabilitative care focuses on helping patients recover and regain independence after illness or injury. This type of care is typically aimed at improving functional abilities and is not tailored to the specific needs of patients who are nearing the end of life, as is the case with hospice care.