Mathematical Biology. 21: Hopf Bifurcations

UCI Math 113B: Intro to Mathematical Modeling in Biology (Fall 2014)
Lec 21. Intro to Mathematical Modeling in Biology: Hopf Bifurcations
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Instructor: German A. Enciso, Ph.D.
Textbook: Mathematical Models in Biology by Leah Edelstein-Keshet, SIAM, 2005
License: Creative Commons CC-BY-SA
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Description: UCI Math 113B is intended for both mathematics and biology undergrads with a basic mathematics background, and it consists of an introduction to modeling biological problems using continuous ODE methods (rather than discrete methods as used in 113A). We describe the basic qualitative behavior of dynamical systems in the context of a simple population model. As time allows, we will then discuss other types of models such as chemical reactions inside the cell, or excitable systems leading to oscillations and neuronal signals. The necessary linear algebra is also discussed to avoid including additional requirements for this course.
Recorded on February 28, 2014
Required attribution: Enciso, German A. Math 113B (UCI OpenCourseWare: University of California, Irvine), ocw.uci.edu/cou.... [Access date]. License: Creative Commons Attribution-ShareAlike 3.0 United States License. (creativecommons...)