Consider a discrete dynamical model about the population of two animal species in the same ecological...
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Consider a discrete dynamical model about the population of two animal species in the same ecological system, where I and yk denote the predator and prey population at the end of k-th month, Ik+1 Ik respectively. The model is of the form D Yk+1 Yk use the given matrix A and the initial populations to determine the long-term behavior of both the predator and the prey populations. Your answer should include the following: - What is lim x? What is lim yk? k→∞ - What is lim Ik? k→∞ Yk = A A = 1-[-03 - A comment on the long-term behavior of both populations (Do they grow indefinitely or do they perish in the long-term, or do they approach a certain limit?) where A is a 2 x 2 matrix. In each part below, 0.4 0.3 -0.325 1.2 = Consider a discrete dynamical model about the population of two animal species in the same ecological system, where I and yk denote the predator and prey population at the end of k-th month, Ik+1 Ik respectively. The model is of the form D Yk+1 Yk use the given matrix A and the initial populations to determine the long-term behavior of both the predator and the prey populations. Your answer should include the following: - What is lim x? What is lim yk? k→∞ - What is lim Ik? k→∞ Yk = A A = 1-[-03 - A comment on the long-term behavior of both populations (Do they grow indefinitely or do they perish in the long-term, or do they approach a certain limit?) where A is a 2 x 2 matrix. In each part below, 0.4 0.3 -0.325 1.2 =
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The question involves analyzing a discrete dynamical system with a matrix that models the population of two animal species predators x and prey y To answer the questions we will analyze the given 2x2 ... View the full answer
Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
Posted Date:
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