The phrase "and the model of" is correct and usable in written English.
It can be used when referring to a specific representation or example of something, often in contexts related to theories, frameworks, or designs.
Example: "The research paper discusses the theory of evolution and the model of natural selection that supports it."
Alternatives: "and the representation of" or "and the framework of".
There soon followed two other boys, helped by two more teachers, and the model of working with autistic children in a mainstream school started to develop.
Miliband signalled an unmistakable break with the corporate consensus of the past three decades and the model of unfettered market capitalism this has enforced.
The software technology he developed has served as the foundation for successive generations of scientists and engineers who developed advanced simulations, including weather and climate prediction and the model of automobile collisions.
And the model of the "sage on the stage" is now seen as somewhat outmoded – or at least, as only one way, and not always the best, of teaching students.
The novel's strength, however, lies in the way it charts the relationship between widower Michael, "reticent with grief, a freelancer adrift on the hours of the day", and the model of domestic happiness next door.
Ambition, for women, has been marketed as a mandate, and the model of ambition that's most commonly marketed tends to resemble Ivanka Trump — the superficially appealing woman who can pay to have it all.
Richard Whitney, former president of the Exchange, treasurer of the New York Yacht Club, master of the Far Hills Hunt, and the model of everything admired at 407 had been arrested.
But as Ronald Bruder, founder of Education for Employment, says, governments are oversaturated and the model of employment in the public sector is not sustainable.
Instead, they present Turkey as a useful bridge, a regional force for peace, and the model of a democracy that is compatible with Islam.
Figure 26 compares the results of the field data and the model of the study.
Figure 27 compares the results of the experiments and the model of the study.
