dodders

Dodders is an informal verb describing unsteady, feeble movement—typically the shaky walking of elderly or frail people: The old man dodders down the hallway each morning.

Someone who dodders moves slowly and tremblingly, suggesting physical weakness or advanced age.

The adjective doddery describes this quality: a doddery old professor.

Separately, dodder is a parasitic plant that wraps around host plants.