Question: A gray whale is considered a juvenile and does not reproduce until it is about 10 years old. The 10-year survival rate of juveniles is

A gray whale is considered a juvenile and does

A gray whale is considered a juvenile and does not reproduce until it is about 10 years old. The 10-year survival rate of juveniles is about 45%, while the 10-year survival rate of adults is about 60%. ("Juvenile Mortality in Gray Whales?, Sumich and Harvey). The maximum annual birth rate for the adult population is about 12%. ("Gray Whale Calf Production and Mortality in the Winter Range', Swartz and Jones). (a) Find a 2 x 2 structured matrix A that describes the change in adult and juvenile populations after 10 years. (b) Show that this matrix is primative. (C) Find the eigenvalues of A. What is the long-term population growth per decade? (d) What is the long-term distribution of juveniles vs adults

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