hw6 - grows by 10 each month but each owl will eat 104 rats...

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HW # 6 Due date: 3/22/2011 1. Owls and wood rats live in Sunukjian’s dark forest. Suppose O k and R k are the number of owls and rats (measured in thousands) respectively in the forest after k months, and that O k +1 = ( . 5) O k + ( . 4) R k R k +1 = ( - . 104) O k + (1 . 1) R k This means that without food (i.e. delicious wood rats), half of the owls will die every month, and that every wood rat will sustain .4 owls beyond that. Similarly, without the predatory owls, the rat population
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Unformatted text preview: grows by 10% each month, but each owl will eat 104 rats. Determine the populations of the owls and rats in Sunukjian’s fantastical forest after 10 months in terms of O and R . Do the rat and owl populations tend towards some sort of equilibrium population? If so, what is it? What is the long term ratio of owls to rats? and page 95: 20,21,22,24 page 122: 2,3,4 1...
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