a will to live
A will to live is when you keep going even when you're tired, sore, and no one else cares about your problems.
I had a will to live when I still ran the last mile of my race even though my legs felt like bricks.
My mom has a will to live because she still works even though she’s been sick for a month.
My little brother has a will to live because he still plays video games even though his eyes are red from crying.