If we may think that it's still modelling our world exactly enough, complete civilisational collapse will probably come in the next couple of decades.
Some people think that it has been pretty accurate:
"[..] The dotted line shows the Limits to Growth “business-as-usual” scenario out to 2100. Up to 2010, the data is strikingly similar to the book’s forecasts."
From: https://www.theguardian.com/commentisfree/2014/sep/02/limits...
Because the only things I've been able to digest are the criticisms (the majority of what I've found is that the model does not accurately reflect the world we live in). I'm not trying to confirmation bias myself here, but I would like to see what the proponents have to say.
https://jancovici.com/en/readings/societies/the-limits-to-gr...
Another article that explains well what the model does, that economists do as if matter and laws of physics didn't exist (unless they're of the rare breed of Georgescu-Roegen's disciples):
https://jancovici.com/en/energy-transition/societal-choices/...
Another article from another source:
https://dothemath.ucsd.edu/2011/09/discovering-limits-to-gro...
[1] https://en.wikipedia.org/wiki/The_Limits_to_Growth