LessonWe continue the study of the population function
which we investigated in Lesson 9 up to
r = 3. As shown in figure 4 of Lesson 9, function (1) predicts zero population for r
Table 1. Last 10 iterations for the parameter range r = (3, 4)
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LessonWe continue the study of the population function
which we investigated in Lesson 9 up to
r = 3. As shown in figure 4 of Lesson 9, function (1) predicts zero population for r
Table 1. Last 10 iterations for the parameter range r = (3, 4)
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,
1 and stable population level x = 1 - 1/r
in the range r = (1, 3). We now investigate the population dynamics of function (1) for the remaining range of r = (3, 4). For a quick overview of the problem in hand, it is helpful to step through the parameter range with a large increment of 0.1, as shown in table 1. With Prog#9 you may record in table 1 the last 10 iterates for r = 3.0, 3.2, 3.4, 3.7 and 3.9, under the default initial x0 = 0.3 and iteration numbers listed in the third column.