这种病不传染英文可以说成"this disease is not contagious"。
"Contagious"这个词来源于拉丁语"contagium"，意思是"传染性疾病"。
例句：
This disease is not contagious, so you don't have to worry about catching it from others.
The flu is a contagious illness, so it's important to get a flu shot to protect yourself and others.
My sister has chickenpox, but don't worry, it's not contagious once the rash appears.
中文翻译：
这种病不传染，所以你不用担心会从别人那里感染上。
流感是一种传染性疾病，所以接种流感疫苗很重要，既可以保护自己，也可以保护别人。
我的妹妹得了水痘，但不用担心，疹子出来以后就不会再传染了。