COSC 4320 Assignment 5-A logistic Model Solved

Description

Question:

A logistic Model is given as

x_t = r x_t-1 (1- x_t-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