Question:
A logistic Model is given as
xt = r xt-1 (1- xt-1 )
Do the following:
- Conduct a bifurcation analysis of this model to find the critical thresholds of r at which Bifurcation occurs
- Study stability of each equilibrium point in each parameter range and summarize the result in a table
- Simulate The model with several selected values of r to confirm the result analysis.
- Plot a Bifurcation diagram of this model for 0 < r < 4
