Hello, TomD .
In this case, this is a limitation of your smartphone or notification mode.
In general, push notifications will not come if you are in the application. In the application, notifications also come in the form of black dots on the interface, also on the notifications tab, all notifications are saved and until the user reads them, a banner of the number of notifications will hang on the tab.
In this case, such mechanics are enough so that the user does not miss the notification.