Application class can be used for store data? (persistent data)

I'm trying to use Android Application class (MyApplication.java) for store data in some ArrayLists of strings and ints

I want that these data get's stored forever, like a database, but without using databases, to simplify my app.

Currently the data get's stored when I exit of the app only when the process of the app is still on background. But if i kill the process of the app, the 开发者_StackOverflow中文版data stored on MyApplication.java class get's removed.

There is a way to solve this?

Code resumed:

public class MyApplication extends Application {
    public static String LeagueTable[][] = new String[21][8];
    //COLUMNAS MATRIZ:
    //0     /1   /2   /3   /4   /5   /6   /7
    //nombre/P.J./P.G./P.E./P.P./G.F./G.C./Pts

    public static League LFP = new League();
    public static Category Primera = new Category(20);
    public static int NEQUIPOS=20;
    public static int[][] matriz= new int[NEQUIPOS+1][NEQUIPOS+1]; //esta es la matriz de emparejamientos, representa el calendario
    public static int PlayerTeamID;
    public static boolean ExistingSaveGame=false;//esto es true cuando existe una partida guardada

    //variables candidatas a poner dentro de una de las clases del modelo, como season por ejemplo
    public static int RoundNumber; //jornada actual
    public static boolean SeasonOver=false;//true cuando la temporada ha terminado

    public void onCreate() {
        super.onCreate();
    }

    public void onTerminate() {
        super.onTerminate();
    }

"and a lot of functions that works with the static variables"

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No it can not. If you don't store your data in storage (that doesn't need to be a db, could be a flat file or whatever) then it is not persistent.