Please place your name(s) in the upper-right corner.
\[\begin{aligned} \frac{\mathrm{d}V}{\mathrm{d}t} &= rV\left(\frac{K-V}{K}\right) - aVP\\ \frac{\mathrm{d}P}{\mathrm{d}t} &= bVP - mP \end{aligned}\]
What is a bifurcation diagram?
Please draw a hypothetical 2-dimensional bifurcation diagram.
Let’s imagine that we have a two species interaction with parameters,
\(a\) and \(b\), respectively representing growth and
attack rate. At high levels of growth rates and attack rates the
populations will cycle. At low growth rates populations go extinct. All
other rates of growth and attack lead to asymptotic stability.
Please identify each of these figures as either type I, II, or III functional responses.