An organism is breathing a chemical that modifies the depth of its breaths. In particular, suppose that
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where γ is the ambient concentration and ct is the concentration in the lung. After a breath, a fraction q of the air came from outside, and a fraction 1 ˆ’ q remained from inside. Suppose γ = 0.5 mol/L.
a. Describe in words the breathing of this organism.
b. Find the discrete-time dynamical system for the concentration in the lung.
c. Find the equilibrium or equilibria.
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Related Book For 
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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