Consider the discrete-time dynamical system for medication given by M t + 1 = 0.5M t +
Question:
Consider the discrete-time dynamical system for medication given by Mt + 1 = 0.5Mt + 1.0 with M0 = 3.
1. Find the equilibrium.
2. The solution is Mt = 2.0 + 0.5t × 3.0. Find the limit as t → ∞.
3. How long will the solution take to be within 1 % of the equilibrium?
4. What are two ways to show that this equilibrium is stable?
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1 Solving M 05M 1 gives an equilibrium of M 20 2 The 05 t term approaches 0 so the li...View the full answer
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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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