Question: Consider a three bin population model where the population vector pk satisfies the difference equation pk+1=ApkwithA=f1s10f20s2f30s3 for fertility rates fi and survival rates si. Let

Consider a three bin population model where the population vector pk satisfies the difference equation pk+1=ApkwithA=f1s10f20s2f30s3 for fertility rates fi and survival rates

Consider a three bin population model where the population vector pk satisfies the difference equation pk+1=ApkwithA=f1s10f20s2f30s3 for fertility rates fi and survival rates si. Let f=0.50.40,s=0.60.50.4. (a) Find the eigenvalues of A (you can use Matlab but make sure you know how to do by hand) and calculate (A). (b) What can you say about limkpk for any starting population p0

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