How to destroy a route model on transition in Ember.js

In my Ember application I have two routes, people and person.

When I transition into person the value of the current model is binded to a property in the application controller.

App.ApplicationController = Ember.Controller.extend({
  needs: [ 'person' ],
  currentPerson: Ember.computed('controllers.person.currentPerson', function () {
    var person = this.get('controllers.person.currentPerson');
    return person ? 'selected person #' + person.id : 'no one has been selected';
  })
});

App.PersonController = Ember.Controller.extend({
  currentPerson: Ember.computed.alias('model')
});

When I transition out of the person route I want to clear the value, ideally destroying the person model.

I've tried:

willTransition: function () {
  this.get('model').destroy();
}

But this doesn't work. How do I properly delete the cached route model?

Example: http://ift.tt/1RoiPtV

Thanks!