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What is the prediction model of the number of participants in mathematical modeling?
This kind of problem is usually predicted by differential equation or difference equation. Such as infectious disease model, economic growth model, population model and so on. I recommend you to look at Jiang Qiyuan's mathematical model.

If there are data of the number of participants in the past years, we can also use time series analysis, grey theory and neural network to predict the number of future participants.

This model is usually tested by computer simulation.