Logistic Recursion Relation

A certain population is believed to satisfy the logistic recursion relation

http://webwork.sdsu.edu/webwork2_fil...cb75e5d791.png

The data for this population can be found at posted data. Find the constants http://webwork.sdsu.edu/webwork2_fil...0fcdd79cd1.png and http://webwork.sdsu.edu/webwork2_fil...224e2cc9b1.png that fit the data __to the update function f__ as well as possible in a least squares sense and use the values of A and B to predict the equilibrium value__s__ of http://webwork.sdsu.edu/webwork2_fil...8d5ec3a3b1.png.

I found A to be -.0085 and B to be 2.7

I need help finding **Peq**. thank you.

Here is the **posted data**

n | Pn |

0 | 7 |

1 | 18.4835 |

2 | 47.0015119 |

3 | 108.126374 |

4 | 192.565052 |

5 | 204.734597 |

6 | 196.495243 |

7 | 202.348922 |

8 | 198.308856 |

9 | 201.159491 |

10 | 199.176929 |

11 | 200.570391 |

Re: Logistic Recursion Relation

Hey danielwow.

Are you trying to find the fixed point where Pn = A*(Pn)^2 + B*Pn?

Re: Logistic Recursion Relation

No, i am trying to find Pequilibrium i found zero was one of them but there are multiple Peq

also thanks for replying