Consider the cat/mouse population problem studied in Example 1. Solve the following

Chapter 6, Problem 12

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Consider the cat/mouse population problem studied in Example 1. Solve the following versions, including an investigation of the dependence on the original populations. a. ck+1 = 0.7ck + 0.1mk mk+1 = 0.2ck + mk b. ck+1 = 1.3ck + 0.2mk mk+1 = 0.1ck + mk c. ck+1 = 1.1ck + 0.3mk mk+1 = 0.1ck + 0.9mk What conclusions do you draw?

Questions & Answers

QUESTION:

Consider the cat/mouse population problem studied in Example 1. Solve the following versions, including an investigation of the dependence on the original populations. a. ck+1 = 0.7ck + 0.1mk mk+1 = 0.2ck + mk b. ck+1 = 1.3ck + 0.2mk mk+1 = 0.1ck + mk c. ck+1 = 1.1ck + 0.3mk mk+1 = 0.1ck + 0.9mk What conclusions do you draw?

ANSWER:

Step 1 of 4

(a) The given system is .

Assume that cat and mouse populations in month  is  and  respectively.

Then, let

For the given , where, for the given system, matrix  is:

                                                     

The population vector .

 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back