What should I do to manage the fear of death?

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Here are two kinds of fears or phobias: temporary and permanent. Temporary lasts for few days after you suffer or witness some traumatic thing. Permanent ones would slightly fall under some psychiatric issues worth paying attention. I would recommend you to wait for some time. Keep yourself busy with positive and productive things and try to be in the company of family or friends. Try deep breathing, meditation and running. Everything should be settled by two weeks. If it does not, then consult a psychiatrist for proper evaluation and treatment.