Jira requires a Java application server to run. Apache is a web server, not an application server. As Harry says, that's what Tomcat is for. MySQL is one of the four databases that are supported.
A lot of people do run Jira behind Apache, for all sorts of reasons. See https://confluence.atlassian.com/display/JIRA/Integrating+JIRA+with+Apache for how to do that
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