QuestionQuestion

1. Find the fixed points of the following recurrence relation, and determine if each fixed point is stable or unstable: x (n)=( x(n−1))²−x(n−1)−3 , n = 1, 2, 3, ...
2. Find a closed form solution for the following second order recurrence relation: x (0)=1, x (1)=−14 , and x (n)=2 x (n−1)+8 x (n−2) for n = 2, 3, 4, …
3. Suppose a bird population grows at rate r (in decimal form) annually. In addition, H birds are hacked each year, and P percent (in decimal form) of the population is harvested each year.
(a) Sketch a compartmental diagram for the size of the population.
(b) Write a difference equation (or recurrence relation) for this model.
4. Suppose an insect population is currently 500 individuals, the annual birth rate is 28.6%, the annual death rate is 4.5%, and 200 insects are removed each year. Determine if the insect population will stabilize at a positive number, if it will go to zero, or if it will grow infinitely large. If it will stabilize at a positive number, what will the stable population be? Explain your answers

Solution PreviewSolution Preview

These solutions may offer step-by-step problem-solving explanations or good writing examples that include modern styles of formatting and construction of bibliographies out of text citations and references. Students may use these solutions for personal skill-building and practice. Unethical use is strictly forbidden.

    By purchasing this solution you'll be able to access the following files:
    Solution.docx.

    $60.00
    for this solution

    or FREE if you
    register a new account!

    PayPal, G Pay, ApplePay, Amazon Pay, and all major credit cards accepted.

    Find A Tutor

    View available Advanced Math Tutors

    Get College Homework Help.

    Are you sure you don't want to upload any files?

    Fast tutor response requires as much info as possible.

    Decision:
    Upload a file
    Continue without uploading

    SUBMIT YOUR HOMEWORK
    We couldn't find that subject.
    Please select the best match from the list below.

    We'll send you an email right away. If it's not in your inbox, check your spam folder.

    • 1
    • 2
    • 3
    Live Chats