Functional core stability training has been widely applied in various fields and has shown positive results. In order to study its application methods and effects in police physical training, we developed a mathematical model according to the characteristics of fighting of SWAT, and methods are designed to be more in line with the action form of the fighting of SWAT. Except for the traditional strength exercise, this research adds another 12 weeks of core stability exercise, and then conducted a study on seven indicators that reflect the strength of fighting with hands before and after this 12 weeks of exercise, using these mathematical data to construct a mode. The mathematical model features of the core stability training for special police combat are shown as follows: the effect of exercise in the experimental group is significantly better than the control group. However, the core stability exercise has a different degree of impact on those indicators that reflect the strength of fighting with hands.
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