区别就是两者都是动词seize被动结构+介词短语，介词不同，短语意思也不同，具体的不同如下
be seized by中文意思是被……抓住
One day, the lion was seized by a whim to be the king, and he went into the forest.一天， 狮子突然心血来潮想称王，便走到森林里去。
be seized with中文意思是被（强烈的情感、愿望等）影响
To look upon my work as opportunity , to be seized with joy and made the most , and not as painful drudgery to be reluctantly endured.视工作为际遇，以快乐的心情投入其中，来换取最大的收获，而不是视之为忍受的苦差事。
