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<?php
/********* DO NOT COPY THE PARTS ABOVE THIS LINE *********/

/* Change Yoast SEO Prev/Next URL on some pages
 * Credit: Yoast Team
 * Last Tested: Jun 10 2017 using Yoast SEO 4.9 on WordPress 4.8
 */
 
add_filter( 'wpseo_next_rel_link', 'custom_change_wpseo_next' );
add_filter( 'wpseo_prev_rel_link', 'custom_change_wpseo_prev' );

function custom_change_wpseo_next( $link ) {
     /* Make the magic happen here
      * Example below changes the rel=”next” link on your homepage
      */

     if ( is_home() ) {
          $new_link = 'https://example.com/custom-page/2/';
          $link = '<link rel="next" href="'. $new_link .'" />' . PHP_EOL;
     }
          return $link;
     }

function custom_change_wpseo_prev( $link ) {
     /* Make the magic happen here */
}

<?php
/********* DO NOT COPY THE PARTS ABOVE THIS LINE *********/

/* Remove Yoast SEO Prev/Next URL from all pages
 * Credit: Yoast Team
 * Last Tested: Jun 10 2017 using Yoast SEO 4.9 on WordPress 4.8
 */

add_filter( 'wpseo_next_rel_link', '__return_false' );
add_filter( 'wpseo_prev_rel_link', '__return_false' );

<?php
/********* DO NOT COPY THE PARTS ABOVE THIS LINE *********/

/* Remove Yoast SEO Prev/Next URL on some pages
 * Credit: Yoast Team
 * Last Tested: Jun 10 2017 using Yoast SEO 4.9 on WordPress 4.8
 */

add_filter( 'wpseo_next_rel_link', 'custom_remove_wpseo_next' );
add_filter( 'wpseo_prev_rel_link', 'custom_remove_wpseo_prev' );

function custom_remove_wpseo_next( $link ) {
     /* Make the magic happen here
      * Example below removes the rel=”next” link on your homepage
      */
     if ( is_home() ) {
          return false;
     } else { 
          return $link;
     }
}

function custom_remove_wpseo_prev( $link ) {
     /* Make the magic happen here
}