Final answer:
The model describing the evolution of different butterflies as a slow ongoing process where one species changes to new species is known as gradualism. In this model, a new species undergoes changes quickly from the parent species and then remains largely unchanged for long periods of time afterward.
Step-by-step explanation:
The model describing the evolution of different butterflies as a slow ongoing process where one species changes to new species is known as gradualism. In gradualism, species diverge gradually over time in small steps. It is important to note that the fossil record better supports the model of punctuated equilibrium, where long periods of little change are interrupted by bursts of rapid change. In this model, a new species undergoes changes quickly from the parent species and then remains largely unchanged for long periods of time afterward.