ng-repeater issue Duplicates in a repeater is not allowed - angularjs

Question

I'm trying to create a form like below, this using ng-repeat directive in angular and it whenever I created a new row complains
"Duplicates in a repeater are not allowed.".
While I understand the solution for this is by putting "track by $index", however it causes another issue, which clicking delete on one row deletes the value of other field. So I suspect that track by index is OK for static text but not input form. So how to use ng-repeat correctly for my case? See my JSFiddle for demo.
My current code :
HTML
<div class="row-fluid spacer10">
<a ng-click="addAKA()" class="btn btn-primary spacer5 left30"><i class="icon-plus icon-white"></i> Add New Alias</a>
</div>
<div class="row-fluid spacer10"></div>
<div class="row-fluid spacer5" ng-repeat="item in aliasList track by $index">
<input type="text" class="span6 left30" ng-model="item">
<button class="btn btn-danger" ng-click="deleteAKA($index)">delete</button>
<BR/>
</div>
Javascript
$scope.addAKA = function ()
{
if($scope.aliasList == null)
{
$scope.aliasList = [];
}
$scope.aliasList.push("");
$scope.aliasjson = JSON.stringify($scope.aliasList);
}
$scope.deleteAKA = function (idx)
{
var aka_to_delete = $scope.aliasList[idx];
$scope.aliasList.splice(idx, 1);
$scope.aliasjson = JSON.stringify($scope.aliasList);
}

Answer 1

Just change the way you iterate. Instead of this:
<div ng-repeat="item in aliasList track by $index">
do this:
<div ng-repeat="item in aliasList">
$index will be still available inside the element, use like this:
<button ng-click='deleteItem($index)'>Delete</button>
See this JSFiddle for a correct solution

Answer 2

There are multiple problems with your approach.
Since you are directly binding a string to ng-model and ng-repeat creates a child scope, any change to the value would not reflect back. Change you scope model to something like
$scope.list = [{text:"one"},{text:"two"}];
and bind to i.text instead of binding to i as you did earlier.
The deleteItem method was called using item instead of index. See my fiddle here
http://jsfiddle.net/JS6aJ/1/