{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

lab05.desc

# lab05.desc - LAB#5 Population Models Goal Compare various...

This preview shows pages 1–3. Sign up to view the full content.

LAB #5 Population Models Goal : Compare various population models for the population of New York over the last 200 years. Required tools : Matlab routines plot , norm , fplot ; separable differential equations. Discussion This lab compares three models of population growth: ( * ) dP dt = r (Linear Growth) ( ** ) dP dt = rP (Exponential Growth) ( *** ) dP dt = rP 1 - P K (Logistic Growth) P ( t ) is the population at time t ( r and K are positive constants). The following table lists the population of New York State in 10 year intervals from the year 1790 to 1990: Population of New York (in thousands) Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 Pop. 379 423 472 523 610 738 995 1231 1457 1783 Year 1890 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 Pop. 2239 2805 3366 3852 4250 4317 4691 5149 5689 5737 6016 Assignment (1) Use Matlab to plot the population given in the table as a function of T where T is measured in decades. Thus T = 0 corresponds to the year 1790 and T = 20 corresponds to 1990. 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
(i) Data in Matlab is stored in matrices (in fact Matlab is short for “ Mat rix Lab oratory”). Enter the time matrix T and the actual population matrix A into Matlab as follows: >> T = [ 0 , 1 , 2 , · · · , 20 ]; >> A = [ 379 , 423 , 472 , · · · , 6016 ]; (The semicolons “;” prevent Matlab from displaying the entries on the screen.) A quick way to produce the matrix T is >> T
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 3

lab05.desc - LAB#5 Population Models Goal Compare various...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online