ABSTRACT

Biology is the branch of science that primarily deals with the structure, function, growth, evolution and distribution of organisms. The first example is a simple discrete population model of a species of insect. Fixed points, stability and bifurcation diagrams are covered. The second example is a continuous population model of the interaction of predator-prey species. Critical points, stability and phase portraits are introduced. The third example is a continuous model of the spread of flu in a school. Compartmental models are used to model the spread of the virus, and time series plots show how the populations vary. The final example is taken from a recent research paper and shows hysteresis in single fiber muscle.