Suppose S = 0.001. Write the discrete-time dynamical system and find its equilibrium. Compare the equilibrium with

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Suppose S = 0.001. Write the discrete-time dynamical system and find its equilibrium. Compare the equilibrium with the ambient concentration.
The above problem investigates production of carbon dioxide by the lungs. Suppose that the concentration increases by an amount S before the air is exchanged. Assume an ambient concentration of carbon dioxide of γ = 0.0004 and q = 0.1.
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