| Mathematics Problem...?
Whale population.
Consider the survival 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 above M, then it will experience a decline because the environment cannot sustain that large a population level. Let a_(n) represent the whale population after n years.
Model: a_(n+1) = a_(n) + k[M - a_(n)][a_(n) - m]
- 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 question above?
Note: The underscores (or rather '_') mean subscript, in this case.
Help required urgently please!!
Thank-you. |