COSC4320-Assignment 5 Solved

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