How to create a SQLite database in Android

I am trying to create a simple database in my application. It works normally on pc, but, when I create the apk and install it, the game doesn't create the database. Follows below the code I am using.

 void Start () {
         if (Application.platform == RuntimePlatform.Android) {
             path += Application.persistentDataPath + "/"; // path starts with "URI=file:"
         } else if (Application.platform == RuntimePlatform.IPhonePlayer) {
             path +=  Application.dataPath.Replace("/Data","") + "/";
         }
         Screen.sleepTimeout = SleepTimeout.NeverSleep;
         Screen.orientation = ScreenOrientation.Portrait;
         Auxdb.OpenDB (path + dbName);
         ArrayList columnNames = new ArrayList() ;
         columnNames.Add("Date");
         columnNames.Add ("Points");
         ArrayList columnValues = new ArrayList() ;
         columnValues.Add ("text");
         columnValues.Add ("text");
         try{
             Auxdb.CreateTable (tableDB, columnNames, columnValues);
         }catch{
         }
         Auxdb.CloseDB ();
     }