COSC 4320 Assignment 5-A logistic Model Solved

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A logistic Model is given as

xt = r xt-1 (1- xt-1

Do the following:

  1. Conduct a bifurcation analysis of this model to find the critical thresholds of r at which Bifurcation occurs
  2. Study stability of each equilibrium point in each parameter range and summarize the result in a table
  3.  Simulate The model with several selected values of r to confirm the result analysis.
  4. Plot a Bifurcation diagram of this model for 0 < r < 4