Is there any laser treatment which kills/works against demodex mites associated with papulopustular rosacea?

Demodex can be reduced by collateral damage with a pulse dye laser or NdYag. This however will not eliminate the cause of rosacea. If you solely measuring the amount of demodex, Ivermectin is the way to go. If you are planning to control rosacea, a management strategy is needed. Rosacea is very complex and a tailored treatment program will  give the best results. This is because there are many types of rosacea (telengtctatic or capillaries, flushing and redness, acne like rosacea, ocular rosacea and even rhinophyma rosacea.)
To add to the complexity, everyone has different flare factors- Sunlight, stress, foods, chemical irritants, creams, changes in temperature, alcohol. The list goes on. 
A detailed history, together with a treatment tailored according to YOUR type of rosacea will give the best results. As a guide, I use a combination of -
1. Lasers ( to treat redness, broken capillaries, rhinophyma, flushing)- best laser is the V BEAM. IPL can be used, but usually not as effective. Laser toning using the long pulse Nd Yag at 1064 can help with background redness. 
2. Creams - anti inflammatory
3. Tablets -anti - inflammatory and sometimes low dose Vitamin A. 
4. For females- Mineral make up is recommend, over make up that contains parabens. 
For the best results, consult a dermatologist for both medical and laser treatment options. 
Kind regards.
Dr Davin S. Lim.
Laser Dermatologist.
Brisbane, Australia.