It won't rebound, but I believe that after a period of jogging, your cardio-pulmonary endurance will definitely be improved. Even if you keep jogging, you won't be as tired as you were at first. After that, your heart and lung function will get better, so you can try to stick to it. There will be a maintenance period of about one month after losing weight. If you don't like running after the maintenance period, walk faster, because walking is slow. But it will take more than 40 minutes to be effective.