Oxygen concentration is reduced by 1% each breath. Find the discrete-time dynamical system and the equilibrium. Are

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Oxygen concentration is reduced by 1% each breath. Find the discrete-time dynamical system and the equilibrium. Are there values of ct for which the system does not make sense?
The above problem investigates absorption that is not proportional to the concentration in the lungs. Assume γ = 0.21 and q = 0.1, and find the equilibrium concentration.
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