Quiz 04
Week 05
Please place your name(s) in the upper-right corner.
- For the following Lotka-Volterra Predator-Prey model, match the coefficients with the definition: \[\begin{aligned} \frac{\mathrm{d}\Omega}{\mathrm{d}t} &= \alpha \diamondsuit \Omega - \spadesuit \Omega\\ \frac{\mathrm{d}\alpha}{\mathrm{d}t} &= \clubsuit \alpha - \Omega \alpha \heartsuit \end{aligned}\]
| Coefficient | Meaning |
|---|---|
| \(\clubsuit\) | Death rate of predators |
| \(\heartsuit\) | Capture/attack rate of predators removing prey |
| \(\spadesuit\) | Conversion rate of attacked prey to predators |
| \(\diamondsuit\) | Intrinsic rate of growth of prey |
- For the following graphs, please respectively draw an arrow in each region to indicate whether the prey (\(V\)) or predator (\(P\)) populations are increasing or decreasing. The graph on the left shows the prey nullcline; the right, the predator nullcline
- For the time series immediately below, please circle the letter of the phase plane that has the correct trajectory curve? (Note this is not necessarily related to predator-prey interactions; it’s just a conceptual exercise for phase planes and 2-species interactions.)
