(おう) Chase – not just cat chases mouse, but also can mean to chase someone in a certain direction, for instance, to drive someone off, or to herd cattle.
(ついきゅう) To pursue, usually used figuratively (pursue justice, pursue happiness, pursue a career)
いかける(おいかける) To chase after – Like a cop chasing a crook. A more narrow meaning than just 追う.   $$$
いつく(おいつく) Catch up to.
(おいこす) Overtake.