YII, my sample model for search with relataionship

<?php

/**
 * This is the model class for table "sf_category_slider".
 *
 * The followings are the available columns in table 'sf_category_slider':
 * @property integer $rec_id
 * @property integer $cat_id
 * @property string $brand_id
 * @property string $slider_image
 * @property string $slider_link
 */
classCategorySliderextends CActiveRecord {

/**
     * Returns the static model of the specified AR class.
     * @return CategorySlider the static model class
     */

public$category_name;

publicstaticfunctionmodel($className=__CLASS__) {
returnparent::model($className);
    }

/**
     * @return string the associated database table name
     */
publicfunctiontableName() {
return'sf_category_slider';
    }

/**
     * @return array validation rules for model attributes.
     */
publicfunctionrules() {
// NOTE: you should only define rules for those attributes that
// will receive user inputs.
returnarray(
array('slider_link', 'required'),
array('cat_id', 'numerical', 'integerOnly'=>true),
array('brand_id', 'length', 'max'=>50),
array('slider_link', 'length', 'max'=>255),
array('slider_image', 'file', 'types'=>'jpg, gif, png', 'allowEmpty'=>true),
// The following rule is used by search().
// Please remove those attributes that should not be searched.
array('rec_id, cat_id, brand_id, slider_image, slider_link, category_name', 'safe', 'on'=>'search'),
        );
    }

/**
     * @return array relational rules.
     */
publicfunctionrelations() {
// NOTE: you may need to adjust the relation name and the related
// class name for the relations automatically generated below.
returnarray(
'cat_slider_relation_category'=>array(self::BELONGS_TO, 'Category', 'cat_id'),
        );
    }

/**
     * @return array customized attribute labels (name=>label)
     */
publicfunctionattributeLabels() {
returnarray(
'rec_id'=>'Rec',
'cat_id'=>'Category',
'brand_id'=>'Brand',
'slider_image'=>'Slider Image',
'slider_link'=>'Slider Link',
        );
    }

/**
     * Retrieves a list of models based on the current search/filter conditions.
     * @return CActiveDataProvider the data provider that can return the models based on the search/filter conditions.
     */
publicfunctionsearch() {
// Warning: Please modify the following code to remove attributes that
// should not be searched.

$criteria=new CDbCriteria;

$criteria->compare('t.rec_id', $this->rec_id);
$criteria->compare('t.cat_id', $this->cat_id);
//$criteria->compare('brand_id', $this->brand_id);
$criteria->addSearchCondition('t.brand_id', $this->brand_id);

if(strlen($this->category_name))
                {
$criteria->with=array('cat_slider_relation_category.category_relation_cat_slider');
$criteria->addSearchCondition('cat_slider_relation_category.cat_name',$this->category_name,true);
                }

$criteria->compare('t.slider_image', $this->slider_image, true);
$criteria->compare('t.slider_link', $this->slider_link, true);

returnnew CActiveDataProvider($this, array(
'criteria'=>$criteria,
                ));
    }

}

?>