MA 226: LAB 2

Logistic Population Growth with Periodic Harvesting

This lab is due Thursday, October 25, 2007, in class. You may use any technology that you have available: the HPG Solver, Mathematica, Matlab, programmable calculator, etc. You will be graded on exactly what is asked for in the instructions below. You need not turn in any additional data, graphs, paragraphs, etc. You should submit only what is called for, and in the order the questions are asked. It is perfectly acceptable to hand in hand-drawn figures. Remember that you will be graded on your use of English, including spelling, punctuation, logic, as well as the mathematics.

IMPORTANT: The work you submit should be your own and nobody else's. Any exceptions to this will be dealt with harshly.

Lab. Do parts 2 and 3 of Lab 1.3, page 146 in the book (not part 1, since we did that already in class). You will need to use one of the choices specified in the first column in Table 1.10. You should use choice A, where A is the last nonzero digit in your student ID. For example, if your student ID is U23-456-789, choose A = 9, but if your ID is U00-203-000, then choose A = 3. Important: You must answer both of the questions in the book in order. Also, make sure you list your student ID on the top of your lab report. Hint: for part three, make sure that you look at fairly large initial populations, and be sure to look at long intervals of time before answering the question. I said loooooooong, maybe at times up to t = 500 time intervals.