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.
Material Type: Simulation
Technical Format: Other
Date Added to MERLOT: June 03, 2008
Date Modified in MERLOT: October 04, 2010
Submitter: Danny Davis
Keywords: Population modeling, Verhulst model, Malthus model, Euler's Method, Java applet
Primary Audience: College Lower Division, College Upper Division
Mobile Compatibility: Not specified at this time
Technical Requirements: Java-enabled Browser
Cost Involved: no
Source Code Available: unsure
Accessiblity Information Available: unsure
Creative Commons: unsure
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Discussion for Population Modeling Applet
5 years ago
Adnan H Sabuwala (Faculty)
Quite an interesting applet. Playing with the $k$ values to get a population of 250 million took some effort.
5 years ago
Paul Jansen (Student)
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.