A closed biological system populated by M number of prey and N number of predators is given by dM — а (М— MN) dt dN = b (-N + MN) dt where a = 1.0/year, b = 0.2/year, M(0) = 0.1 and N(0) = 1.0. Use Euler's method to solve the system from t = 0 to t = 4 with h =2

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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(c) A closed biological system populated by M number of prey and N number of predators
is given by
dM
%3D а (М — MN)
dt
dN
= b (-N + MN)
dt
where a =
1.0/year, b = 0.2/year, M(0) = 0.1 and N(0) = 1.0. Use Euler's method to
solve the system from t = 0 to t = 4 with h =2
Transcribed Image Text:(c) A closed biological system populated by M number of prey and N number of predators is given by dM %3D а (М — MN) dt dN = b (-N + MN) dt where a = 1.0/year, b = 0.2/year, M(0) = 0.1 and N(0) = 1.0. Use Euler's method to solve the system from t = 0 to t = 4 with h =2
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