## 1. Overall Reaction
$\ce{ 2H_2 + O_2 -> 2H_2O}$
Modeling it might involve as many as 40 reactions involving 8 species ($H_2$, $O_2$, $H_2O$, $OH$, $H$, $O$, $HO_2$ and $H_2O_2$)
## 2. Initiation
At all temperatures
$\ce{H_2 + O_2 -> HO_2 + H\tag{chain initiation}}$
Only at high temperatures
$\ce{H_2 + M -> H + H + M\tag{chain initiation}}$
## 3. Propagation
$\ce{H + O_2 -> OH + O\tag{chain branching}}$
this is endothermic and wont proceed rapidly at low temperatures
$\ce{O + H_2 -> OH + H\tag{chain branching}}$
$\ce{OH + H_2 -> H_2O + H\tag{chain propagating}}$
$\ce{O + H_2O -> OH + OH\tag{chain propagating}}$
## 4. Termination
$\ce{H + H + M -> H_2 + M\tag{chain termination}}$
$\ce{O + O + M -> O_2 + M\tag{chain termination}}$
$\ce{H + O + M -> OH + M\tag{chain termination}}$
$\ce{H + OH + M -> H_2O + M\tag{chain termination}}$
At higher temperatures tertiary reactions involving $HO_2$ and $H_2O_2$ become important