Concept explainers
In 1990, the population of the African country Benin was about 4.6 million people. Its composition by age was as follows:
We represent these data in a state
We measure time in increments of 15 years, with
a. Explain the significance of all the entries in the matrix A in terms of population dynamics.
b. Find the eigenvalue of A with the largest modulus and an associated eigenvector (use technology).What is the significance of these quantities in terms of population dynamics? (For a summary on matrix techniques used in the study of age-structured populations, see Dmitrii O. Logofet, Matrices andGraphs: Stability Problems in Mathematical Ecology, Chapters 2 and 3, CRC Press, 1993.)
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Linear Algebra with Applications (2-Download)
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