Except a few cases they are different, but the genus Tospovirus is composed of several viruses able to infect plants and insects . http://en.wikipedia.org/wiki/TospovirusTospovirus - Wikipedia, the free encyclopedia
and some other viruses can turn from plants to animals: : "A plant virus that switched to vertebrates" http://www.virology.ws/2010/04/26/a-plant-virus-that-switched-to-vertebrates/
There may be a little difference because plant cell have cellulose cell wall while animal cell is surrounded by cell membrane. Also, environmental factor is a key player. So you need to consult plant virologist and animal virologist.