Velocity is the name of the module, and velocity-animate is the package it’s from in your node_modules folder. they will not be in the package.json file because the type definitions are a package from @types/velocity-animate. think of
import Velocity from 'velocity-animate'; being like
var Velocity = require('velocity-animate');
the type definitions may not work because the type definitions are outdated, and looks like it requires jquery, but no matter, the module you npm installed will still work.
in the declarations.d.ts file you should have
declare module '*'; which means you can reference any JS module without typescript giving errors.