How to make a reflexive relationship in Laravel migration and model

I've would like to have a table that has a one to many with itself.Eg: I have like a people table that can have many other people.This is how my code looks like:

 public function up()
    {
        Schema::create('people', function (Blueprint $table) {
            $table->string('id')->primary();//Here my PK is a string
            $table->string('name');
            $table->string('title')->nullable();
            $table->string('parent_id');//Here is the foreign key of another person
            $table->timestamps();
        });
    }

And in my Person.php model i have this:

  public function people(){
        return $this->belongsTo('App\Person')->withDefault();
    }

    public function person(){
    return $this->hasMany('App\Person');
}

Take a look to this image:

via Chebli Mohamed