This is the edited script, hope it helps,
<script type="text/javascript">
$(function(){
$("#yourFormId").on('submit', function(){
return false;
$(".submitBtn").attr("disabled",true); //disable the submit here
//send the form data via ajax which will not relaod the page and disable the submit button
$.ajax({
url : //your url to submit the form,
data : { $("#yourFormId").serializeArray() }, //your data to send here
type : 'POST',
success : function(resp){
alert(resp); //or whatever
},
error : function(resp){
}
});
})
});
</script>