Hide “Comments are closed” on static page

Hi,
I am using a static page (as a landing page) and have disabled “Comments”, but then receive the following text at the bottom of the page:

“Comments are closed”

I would like to hide/disable this text on the landing page, but not necessarily on the other pages. I am using theme Eximius
This code is enabling the “comments are closed” message in comments.php
<p class="nocomments"><?php _e('Comments are closed', 'default'); ?>.</p>

I was thinking of disabling by using:

<?php if( !is_home() ) : ?>
<p class="nocomments"><?php _e('Comments are closed', 'default'); ?>.</p>
<?php endif; ?>

BUT, obviously is_home() does not relate to the static page, but the now disabled default homepage. Any ideas how I can adjust this?

Thanks,
Olafur