Social Force and Newton Third Laws

[godisreal]

The social force does not agree with Newton 3rd Law in its mathematical expression. However, the model is widely applied in pedestrian motion. Pedestrian motion definitely is within Newton Laws. So any comments or insight about this issue? @chraibi

I suppose the model is consistent with Newton 1st and 2nd Laws. However, the social force does not agree with Newton 3rd Law (actio=reactio). That seems a serious problem. Someone said the particle does not need to follow Newton Laws. However, pedestrian are low speed object in the macroscopic world, and if social force model is used for pedestrian motion, it should be consistent with Newton Laws.