There some change require in your code:



No1: **Mage_Catalog** module **CategoryController** properly `not included`.

 You need to include this file at your override controller in magento way.
 

    require_once('app/code/core/Mage/Catalog/controllers/CategoryController.php');

**Is should be** 

    require_once Mage::getModuleDir('controllers', 'Mage_Catalog').DS.'CategoryController.php';

Also you need to create module config file **Deepak_Ajaxdeep.xml at app/etc/modules**