SIMIODE

Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations.  They will also work with other utilities such as desmos.com and dfield.jar for visualizing dynamic plots and slopefields.  It is assumed that students have had at least some experience with interpreting exponential and logistic differential equations.  However, there are ample opportunities for review of these ideas if necessary.

Researchers should cite this work as follows:

• Bill Skerbitz (2019), "1-143-S-PopulationModelVariationsMATLAB," https://simiode.org/resources/5889.

  BibTex | EndNote

1. bifurcation
2. classifying equilibria
3. differential equations
4. equilibria
5. harvesting
6. logistic growth
7. MatLab
8. population ecology
9. population model
10. qualitative analysis
11. slope field
12. stability
13. stocking