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This embroidery design illustrates the LotkaāVolterra model, a mathematical system that describes how predator and prey populations interact over time. The horizontal axis shows prey numbers and the vertical axis shows predator numbers. Each curved loop represents a repeating cycle of population changes. š° Embroidery template available on my website š¦
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Okay so I did give them a bonus for the final and I am having them use code I made that makes Turing patterns and told them to play with three parameters to match Minki
Here is an example of the code output (although I am sure some students may be able to match better).
The SIR model is a type of compartmental model used in epidemiology to describe how infectious diseases spread through a population. It divides the population into three groups, or "compartments":Ā susceptible (S),Ā infectious (I), andĀ recovered (R). Individuals move from one compartment to another over time, and this movement is described using a set of coupled differential equations. For example, the rate at which susceptible individuals become infectious depends on how many susceptible and infectious people are currently in the population.
In the plot, each compartment is shown as a curve over time. TheĀ susceptible curveĀ starts high and declines as individuals become infected. At the same time, theĀ infectious curveĀ rises, creating an epidemic peak. Once the susceptible population drops below a critical threshold, and as infectious individuals recover, the infectious curve begins to fall. Meanwhile, theĀ recovered curveĀ steadily increases and eventually plateaus, reflecting that most of the population has passed through infection.
As a bio NatSci how should I decide whther to take math bio or math a in the first year? I didn't do further maths a level does that discount me from Math A?
Further Maths only comes into question for Math B really, so that wouldnāt be a problem. I think it depends on how much you like math - Math A is pure math, while Math Bio is totally focused on biology, so you can enjoy it a bit even if you donāt like math - you can see the practical use of it in bio. BUT it also depends on what kind of biology you want to do - if you plan to do something chemistry-related (biochem, pharmacology), Math A can be valuable there more than Math Bio. In the end, I would mostly consider which one you will enjoy more - neither are pre-requisites for anything in the bio realm.
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Also: with the recent Ebola outbreaks, I figured now was a good time to bring out this paper, which discusses a pretty classic model for disease transmission, applied to the Ebola virus.
If the full thing is too steep for you, you're welcome to adopt the Genuine Mathematical Method for Unfamiliar Paper Readings: skim the intro, skip down to the discussion, and squint at the equations in the middle.
Made With Paper
