Best solution to replace mousedown in mobil devices

Am trying to find a way to minimize my ui with smartways of navigation on desktop and mobile devices. What is the best solution to replace mousedown in mobil devices http://codepen.io/shaikeomra/pen/XKNBVX $(document).mouseup(function(e){ if(mouse_down) { // mouse_down = false; $("#header").animate({height: 46},300); $("#menu").removeClass("show"); $(".pullmenu-icon").removeClass("hide"); //