Participants will be introduced to the discrete graph theory methods and models of structured population as well as classical continuous models based on differential equations. They will learn how to use such methods and/or build and analyze models in the context of the tutorial’s topics and will work in small groups to experience how to use the methodology to describe, simulate, and analyze the relevant biological systems. Participants will be exposed to software that implements the mathematical methods, aids visualization, and facilitates computations and analyses. Participants will learn how the tutorial materials may fit into mathematics and biology courses or be used as an introduction to independent studies or undergraduate research.