Here you can also choose which notifications you would like to receive. If you want to know when eggs, moths, fish, butterflies and flowers are ready, simply tap the check box next to them and a green tick will appear. If you want to turn them off, tap them again and the green tick will disappear and you will no longer receive notifications.
*please note that there are also a number of notification settings controlled in Facebook via the apps area. If you are not receiving notifications and you have these turned on, try checking there. Also check your app settings in your devices settings area.