To prevent biological fouling in an electrodialysis device, an electrodialysis device including a membrane electrolysis stack are created. Every membrane electrolysis stack comprises membranes stacked on top of each other and respectively dilute and concentrate compartments arranged therebetween, at least one first and at least one second membrane alternating in succession in the membrane electrolysis stack. At least one first membrane is selected from a group comprising an anion exchange membrane and a bipolar membrane, and at least one second membrane is selected from a group comprising a monoselective anion exchange membrane, a monoselective cation exchange membrane and a proton-selective exchange membrane, with the proviso that the second membranes are respectively selected independently of each other and that at least one first membrane in the membrane electrolysis stack is a bipolar membrane.