Jisatsutou

Suicide Island is an ongoing manga series by the creator or Holyland, Mori Kouji.

Plot
Treating non-successful suicidal patients requires a lot of money and resources. With low budget and a personal respect argumentation, a doctor will ask a non-successful suicidal patient if he/she still wants to live on or not. If not the government will respect his/her wish. However, the government doesn't just simply kill them. Instead, they are sent to an island called the "Suicide Island".