http://stackoverflow.com/questions/39917704/add-query-string-in-route-map-url/39920532#39920532

controllers.application.js

import Ember from 'ember';

export default Ember.Controller.extend({
  appName: 'Ember Twiddle'
});

controllers.books.index.js

import Ember from 'ember';

export default Ember.Controller.extend({
  queryParams: ['page','perPage'],
  page: 1, //1 is default value
  perPage:25,
  actions:{
    togglePage(){
      if(this.get('perPage') === 50){
        this.set('perPage',25);
      } else {
        this.set('perPage',50);
      }
    }
  }
});

controllers.books.js

import Ember from 'ember';

export default Ember.Controller.extend({
  
});

router.js

import Ember from 'ember';
import config from './config/environment';

const Router = Ember.Router.extend({
  location: 'none',
  rootURL: config.rootURL
});

Router.map(function() {
  this.route('books',function(){
    this.route('index',{path:'/'});
    this.route('view');
  });
});

export default Router;

routes.books.index.js

import Ember from 'ember';

export default Ember.Route.extend({
  queryParams: { page: { refreshModel: true },perPage: { refreshModel: true }},
  model(params){
    return {'page':params.page,'perPage':params.perPage};
  }
});

routes.books.js

import Ember from 'ember';

export default Ember.Route.extend({  
});

routes.books.view.js

import Ember from 'ember';

export default Ember.Route.extend({
});

templates.application.hbs

<h1>Welcome to {{appName}}</h1>
<br>
<br>
{{outlet}}
<br>
<br>

templates.books.index.hbs

index hbs
{{model.page}}
{{model.perPage}}
<button {{action 'togglePage'}}>TogglePage</button>

templates.books.view.hbs

view

twiddle.json

{
  "version": "0.10.5",
  "EmberENV": {
    "FEATURES": {}
  },
  "options": {
    "use_pods": false,
    "enable-testing": false
  },
  "dependencies": {
    "jquery": "https://cdnjs.cloudflare.com/ajax/libs/jquery/1.11.3/jquery.js",
    "ember": "2.8.0",
    "ember-data": "2.8.0",
    "ember-template-compiler": "2.8.0",
    "ember-testing": "2.8.0"
  },
  "addons": {}
}