Solution Found!
Consider the cat/mouse population problem studied in Example 1. Solve the following
Chapter 6, Problem 12(choose chapter or problem)
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 .