1619 Write the system of difference equations and construct the corresponding matrix

Chapter 8, Problem 16

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1619 Write the system of difference equations and construct the corresponding matrix that describes this system. 16. Vectorcardiography Suppose the components X and Y of the hearts voltage vector change from one beat to the next according to the diagram 1 _ X Y 1 17. Antigenic evolution Suppose influenza viruses are plotted in two-dimensional antigenic space, and that the x- and y-coordinates change from one year to the next according to the diagram 3 2 0 x y .9 18. Genome expression profiles A genome expression profile can be characterized as a vector. Consider a species of frog and suppose that global warming causes the components W, X, Y, and Z of its genome expression vector to change from one year to the next according to the diagram 2 W X Y Z 1 4 0.95 0.3 19. Genetics of inbreeding Plants are sometimes bred with themselves to generate homozygous individuals (that is, ndividuals that carry two identical copies of a gene of interest). Suppose the numbers of plants that are AA, Aa, and aa in generation t are denoted by dt, ht, and rt, respectively. These variables then change from one generation to the next according to the diagram