Is it permissible for a person suffering from a contagious skin disease, who is unable to wash with water, to perform tayammum and pray at home so as not to harm others?

It is permissible for one who is unable to use water for ghusl (ritual bath) or wudu (ablution) due to an illness that would worsen the illness or delay recovery, to perform tayammum (dry ablution) instead of ghusl and wudu. It is also permissible for a sick person who finds it difficult to go to the mosque or whose illness would cause harm to others, to refrain from attending congregational prayer and pray at home.