Modeling　collaborative　virtual　environment　completely　has　two　emphasizes　including　static　definition　and　dynamic　state　transition　representation.　This　paper　presents　a　new　complete　model　called　ERACVE　integrating　Fuzzy-Timing　Petri　Nets　with　role　and　agent　technology,　which　involves　two　parts.　A　fundamental　part　defines　CVE　as　a　five-tuple　containing　all　important　components　and　give　series　of　formal　definition　one　by　one.　To　explicitly　represent　dynamic　state　transition　which　is　according　with　timing　aging　to　satisfy　4D　and　real-time　requirements,　an　extended　Fuzzy-Timing　Petri　Nets　formal　modeling　technique　is　employed　in　modeling　state　transitions　of　Intelligent　Entity　in　Running　State,　Collaborative　Federation,　and　Collaborative　Activity.　Also,　an　application　of　ERACVE　to　shared　object　concurrent　manipulation　is　given　to　verify　this　model＇s　validity.　Integrated　fundamental　part　with　expanded　part,　ERACVE　is　a　complete　model　for　CVE　not　only　on　formal　static　definition　but　also　on　dynamic　state　transition　description.　©　2004　IEEE.