Suppose the fraction of individuals with some superior gene increases by 10% each generation. a. Write the

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Suppose the fraction of individuals with some superior gene increases by 10% each generation.

a. Write the discrete-time dynamical system for the fraction of organisms with the gene (denote the fraction at time t by f_t and figure out the formula for f_t+1).

b. Write the solution with f₀ = 0.0001.

c. Will the fraction reach 1.0? Does the discrete-time dynamical system make sense for all values of f_t?

Follow the steps to derive discrete-time dynamical systems describing the above contrasting situations.

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Modeling the Dynamics of Life Calculus and Probability for Life Scientists

ISBN: 978-0840064189

3rd edition

Authors: Frederick R. Adler

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Question Posted: Apr 14, 2016 05:22 AM

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Suppose the fraction of individuals with some superior gene increases by 10% each generation. a. Write the

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a If the old fraction is f t then f t1 f t 01f t or ...View the full answer

Modeling the Dynamics of Life Calculus and Probability for Life Scientists

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