Oxygen concentration is reduced by 2% each breath (that is, if the concentration before absorption were 18%,

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Oxygen concentration is reduced by 2% each breath (that is, if the concentration before absorption were 18%, it would be 16% after absorption). 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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