Material Detail

Population Modeling Applet

In this applet, the user applies Euler's Method to modeling population growth using the Malthus exponential model and the Verhulst constrained growth model. After finding the Euler solution, the user can check the solution with the Adaptive Euler Approximation or with a slope field. Also, the user can enter an exact solution obtained from separating variables (or whatever) and again check the Euler solution graphically.

Keywords:: Verhulst model, Population modeling, Euler's Method, Java applet, Malthus model

Disciplines:

Mathematics and Statistics / Mathematics / Applied Mathematics

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More about this material

Material Type:: Simulation
Date Added to MERLOT:: June 3, 2008
Date Modified in MERLOT:: May 9, 2017
Author:: Don Kreider, Department of Mathematics, Dartmouth College
Dwight Lahr, Department of Mathematics, Dartmouth College
Submitter:: Danny Davis
Primary Audience:: College Lower Division, College Upper Division
Technical Format:: Other

Mobile Compatibility:: Not specified at this time
Technical Requirements:: Java-enabled Browser
Language:: English
Cost Involved:: No
Source Code Available:: Unknown
Accessibility Information Available:: Unknown
Creative Commons:: No

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Comments

Adnan H Sabuwala (Faculty)

10 years ago

Quite an interesting applet. Playing with the $k$ values to get a population of 250 million took some effort.

Paul Jansen (Student)

10 years ago

I am not a calculus student so this was a little confusing to me. I tried substituting numbers in certain spots, but I didnt truly understand what those spots were determining. If I had some more experience with differential equations Im sure this would have been benneficial to their studies.