Asbestos in 2005 pellet stove?
It doesn't look like asbestos; it also does not seem likely that a stove manufactured that recently would incorporate asbestos in a "user serviceable" area. Problem is that some countries still do not regulate asbestos. The only way to know for sure is to ask the maker or have it analyzed at a lab.

It does look like it could be refractory ceramic fiber (RCF) wool, which is also used as insulating material and is a suspected carcinogen when airborne particles are inhaled. I think it's mostly a problem with chronic industrial exposure in the workplace, and is not an issue unless/until it has been "fired" above certain temperatures.