There some change require in your code:


No1:

    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**