Virus that can affect Linux and MACs. Read those at the Link below. And yes you should run anti virus programs with Linux. Use Clam Anti virus software.
Trojans
* Kaiten - Linux.Backdoor.Kaiten trojan horse
* Rexob - Linux.Backdoor.Rexob trojan
Viruses
* Alaeda - Virus.Linux.Alaeda
* Bad Bunny - Perl.Badbunny
* Binom - Linux/Binom
* Bliss
* Brundle
* Bukowski
* Diesel - Virus.Linux.Diesel.962
* Kagob a - Virus.Linux.Kagob.a
* Kagob b - Virus.Linux.Kagob.b
* MetaPHOR
* Nuxbee - Virus.Linux.Nuxbee.1403
* OSF.8759
* Podloso - Linux.Podloso
* Rike - Virus.Linux.Rike.1627
* RST - Virus.Linux.RST.a
* Satyr - Virus.Linux.Satyr.a
* Staog
* Vit - Virus.Linux.Vit.4096
* Winter - Virus.Linux.Winter.341
* Winux (also known as Lindose and PEElf)
* ZipWorm - Virus.Linux.ZipWorm
Worms
* Adm - Net-Worm.Linux.Adm
* Adore
* Cheese - Net-Worm.Linux.Cheese
* Devnull
* Kork
* Linux/Lion
* Mighty - Net-Worm.Linux.Mighty
* Millen - Linux.Millen.Worm
* Slapper
* SSH Bruteforce
There seems to be others also.