Do a find of your LinkButton in the Updating event like below:
LinkButton lb = (LinkButton) GridView1.Rows[GridView1.EditIndex].FindControl("LinkButton1");
if(lb!=null){
//Now check what is the Text of your link button. Depending on Enable or disable you set the parameter value as needed
e.InputParameters["value"] = lb.Text=="Disable"? 0 : 1;
}