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Although the model in Prob. 28.22 works adequately when population growth is unlimited, it breaks down when factors such as food shortages, pollution, and lack of space inhibit growth. In such cases, the growth rate itself can be thought of as being inversely proportional to population. One model of this relationship is
where
For the same island studied in Prob. 28.22, employ Heun's method(without iteration) to predict the population at
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