Flutter: Maintain state when navigating to different page - flutter

Question

I have the following code which creates a Listview and adds an icon to the end of each item. This icon can be tapped in order to highlight it.
The problem is, when I navigate away from the page the items are deselected. I am using Navigator.of to load the Listview:
Navigator.of(context)
.push(MaterialPageRoute<Null>(builder: (BuildContext context) {
return new LikedList();
}));
Full code:
import 'package:flutter/material.dart';
import './images.dart';
class LikedList extends StatefulWidget {
#override
_LikedListState createState() => _LikedListState();
}
class _LikedListState extends State<LikedList> {
List<bool> _likes = List.filled(ImagesState.likes.length,true);
#override
Widget build(BuildContext context) {
return Scaffold(
appBar: AppBar(
title: Text('Liked List'),
),
body: ListView.separated(
separatorBuilder: (context, index) => Divider(),
itemCount: ImagesState.likes.length,
itemBuilder: (context, index) {
final item = ImagesState.likes[index];
return ListTile(
title: Text(item),
trailing: IconButton(
icon: _likes[index]
? Icon(
Icons.favorite_border,
color: Colors.grey,
)
: Icon(
Icons.favorite,
color: Colors.red,
),
onPressed: () {
setState(() {
print(_likes);
_likes[index] = !_likes[index];
print(_likes);
});
},
),
onLongPress: () {
setState(() {
print(ImagesState.likes[index]);
ImagesState.likes.removeAt(index);
});
},
);
},
),
);
}
}