Final answer:
Digestive reflexes localized within the enteric nervous system are called short reflexes, which directly influence digestive function without involving the central nervous system.
Step-by-step explanation:
Digestive reflexes that do not involve the central nervous system (CNS) but instead are localized and occur within the enteric nervous system are called short reflexes. The enteric nervous system is a division related to the autonomic nervous system and specifically refers to the nervous tissue in the digestive organs responsible for digestive function. When stretch receptors in the stomach are activated, these short reflexes directly stimulate the smooth muscle fibers of the stomach wall to increase motility, without the need for CNS involvement. In contrast, long reflexes involve both the CNS and autonomic nervous system, responding to sensory inputs from outside the digestive system, such as the sight or smell of food.