In bootstrap-typeahead.js v2.3.0 into Typeahead.prototype, "Click" function, after selecting a item, sets focus to "input control" again. That is not necesary. So I removed that code line and now typeahead is working fine with all mobile and tablets browsers.
...
, click: function (e) {
e.stopPropagation()
e.preventDefault()
this.select()
//this.$element.focus() //I removed this line
}
...