(a) In the following model for the growth of rabbits, foxes, and hu- mans, R' =...

 

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(a) In the following model for the growth of rabbits, foxes, and hu- mans, R' = R + .3R- .1F.2H F = F + 4R .2F - .3H H' = H + .1R+.1F + .1H - determine the sum and max norms of the coefficient matrix A. (b) If the current vector of population sizes is p = [10, 10, 10], de- termine bounds (in sum and max norms) for the size of p' = Ap. Compute p' and see how close it is to the norm bounds. (c) Give a sum norm bound on the size of population vector after four periods, p(4). (a) In the following model for the growth of rabbits, foxes, and hu- mans, R' = R + .3R- .1F.2H F = F + 4R .2F - .3H H' = H + .1R+.1F + .1H - determine the sum and max norms of the coefficient matrix A. (b) If the current vector of population sizes is p = [10, 10, 10], de- termine bounds (in sum and max norms) for the size of p' = Ap. Compute p' and see how close it is to the norm bounds. (c) Give a sum norm bound on the size of population vector after four periods, p(4).

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Solution Given that The Model has the growth of rabbits Foxes humans R R 03R 01F 02H F F ... View the full answer