Answers for "disable clicking outside modal"

prevent close modal when click outside

$('#myModal').modal({
    backdrop: 'static',
    keyboard: false
})

or in HTML
<a data-controls-modal="your_div_id" data-backdrop="static" data-keyboard="false" href="#">

modal show not close jquery

jQuery('#modal_ajax').modal('show', {backdrop: 'static', keyboard: false});