JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.4/css/bootstrap.min.css">
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.4/js/bootstrap.min.js"></script>
<div role="tabpanel" id="myTab">
  <!-- Nav tabs -->
  <ul class="nav nav-tabs" role="tablist">
    <li role="presentation" class="active"><a href="#home" aria-controls="home" role="tab" data-toggle="tab">Home</a></li>
    <li role="presentation"><a href="#profile" aria-controls="profile" role="tab" data-toggle="tab">Profile</a></li>
    <li role="presentation"><a href="#messages" aria-controls="messages" role="tab" data-toggle="tab">Messages</a></li>
    <li role="presentation"><a href="#settings" aria-controls="settings" role="tab" data-toggle="tab">Settings</a></li>
  </ul>

  <!-- Tab panes -->
  <div class="tab-content">
    <div role="tabpanel" class="tab-pane active" id="home">
        Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Aenean commodo ligula eget dolor. Aenean massa. Cum sociis natoque penatibus et magnis dis parturient montes, nascetur ridiculus mus. Donec quam felis, ultricies nec, pellentesque eu, pretium quis, sem. Nulla consequat massa quis enim.
    </div>
    <div role="tabpanel" class="tab-pane" id="profile">
        Donec pede justo, fringilla vel, aliquet nec, vulputate eget, arcu. In enim justo, rhoncus ut, imperdiet a, venenatis vitae, justo. Nullam dictum felis eu pede mollis pretium. Integer tincidunt.
    </div>
    <div role="tabpanel" class="tab-pane" id="messages">
        Cras dapibus. Vivamus elementum semper nisi. Aenean vulputate eleifend tellus. Aenean leo ligula, porttitor eu, consequat vitae, eleifend ac, enim. Aliquam lorem ante, dapibus in, viverra quis, feugiat a, tellus. Phasellus viverra nulla ut metus varius laoreet.
    </div>
    <div role="tabpanel" class="tab-pane" id="settings">
        Quisque rutrum. Aenean imperdiet. Etiam ultricies nisi vel augue. Curabitur ullamcorper ultricies nisi. Nam eget dui. Etiam...

CSS

.controls {
    margin: 20px 0 0;
}

JavaScript

$(document).ready(function(){
   
    var tab = $('#myTab');
    var num = tab.find('.nav-tabs li').length - 1;
    
    $('.next').click(function(){
        var cur = tab.find('li.active');
        var index = cur.index();
        
        if(index == num) {
            var next = tab.find('.nav-tabs').find('li').eq(0);
        }
        else {
           var next = cur.next('li'); 
        }
        
        next.find('a').tab('show');
    });
    
    $('.prev').click(function(){
        var cur = tab.find('li.active');
        var index = cur.index();
        
        if(index == 0) {
            var next = tab.find('.nav-tabs').find('li').eq(num);
        }
        else {
           var next = cur.prev('li'); 
        }
        
        next.find('a').tab('show');
    });
    
});