**Unformatted text preview: **OR mutants will die out. OR p t → 2. Consider the following discrete time dynamical system of a heart model, with α = 1 . 0, τ = 1 . 0, V c = 20, and u = 10. V t +1 = ± e-ατ V t + u if V t ≤ e ατ V c e-ατ V t if V t > e ατ V c ± If V = 30, will the heart beat? Show why. The heart beats because: 30 < e (1 · 1) 20 = 54 . 37 or e (-1 · 1) (30) = 11 . 036 < 20 ± What is the equilibrium? Show your work. V * = e-1 V * + 10 V *-e-1 V * = 10 V * (1-e-1 ) = 10 V * = 10 1-e-1 = 15 . 819767...

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