Mathematics Problem...? - Freemason Hirams Travels Masonic Forums

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03-08-2008, 10:27 AM

Angela B

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Mathematics Problem...?

Consider the survivial of a population of whales, and assume that if the number of whales falls below a minimum survival level m, then the species will become extinct. In addition, assume that the population is limited by the carrying capacity M of the environment. That is, if the whale population is above M, then it will experience a decline because the environment cannot sustain that large a population level.

- Find the fixed points of the model, and determine their stability via linearization. You may assume that M = 5000, m = 100, and k = 0.0001.
- Perform a graphical stability analysis. Are your results consistent with the results from above question?
- Sketch the graphs of a_(n) versus n for various initial conditions.

Note: The underscores (or rather '_') mean subscript, in this case.

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