JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.12.4/jquery.min.js"></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.css">
<script src="https://cdnjs.cloudflare.com/ajax/libs/jqueryui/1.12.1/jquery-ui.min.js"></script>
<label for="">start</label>
<input type="text" class="form-control" id="dateStart" name="start">
<label for="">end</label>https://jsfiddle.net/devefrontend/vaqdsmjk/6/#
<input type="text" class="form-control" id="dateEnd" name="end">
<label for="">night</label>
<select name="night" id="night" class="form-control passenger">
  <option selected="selected">1 night</option>
  <option>2 night</option>
  <option>3 night</option>
  <option>4 night</option>
  <option>5 night</option>
  <option>6 night</option>
  <option>7 night</option>
  <option>8 night</option>
</select>

JavaScript

$(document).ready(function() {

      $("#dateStart").datepicker({
        dateFormat: "dd-M-yy",
        minDate: 'dateToday',
        onSelect: function(date) {
          var date2 = $('#dateStart').datepicker('getDate');
          date2.setDate(date2.getDate() + 1);
          $('#dateEnd').datepicker('setDate', date2);
          //sets minDate to dt1 date + 1
          $('#dateEnd').datepicker('option', 'minDate', date2);
        }
      }).datepicker("setDate", new Date());
      $('#dateEnd').datepicker({
        dateFormat: "dd-M-yy",
        minDate: 1,
        onClose: function() {
          var dt1 = $('#dateStart').datepicker('getDate');
          console.log(dt1);
          var dt2 = $('#dateEnd').datepicker('getDate');
          if (dt2 <= dt1) {
            var minDate = $('#dateEnd').datepicker('option', 'minDate');
            $('#dateEnd').datepicker('setDate', minDate);
          }
        }
      }).datepicker("setDate", new Date());

    });