Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time in months, Lk is the number of owls in the area studied, and R is the number (in thousands) of wood rats in the area studied. Suppose Lk+ 1 = (0.2)Lk + (0.6)Rk and Rk+1=(-0.1)Lk + (0.9)Rk. Determine the evolution of this system. (Give a formula for xk.) Does the owl population grow or decline? Does the wood rat population grow or decline?

Denote owl and wood rat populations in a particular area at time k by xk LK Rk where k is the time in months, Lk is the number of owls in the area studied, and R is the number (in thousands) of wood rats in the area studied. Suppose Lk+ 1 = (0.2)Lk + (0.6)Rk and Rk+1=(-0.1)Lk + (0.9)Rk. Determine the evolution of this system. (Give a formula for xk.) Does the owl population grow or decline? Does the wood rat population grow or decline?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Exponential And Logarithmic Functions

Section5.4: Exponential And Logarithmic Equations

Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...

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