ECOL 4000: Q1-3 from R* reading, Lotka-Volterra competition question (see below) and Q1-3 from predator-prey reading (bonus Q4-5)
ECOL 6000: As above, but including predator-prey reading Q4 (bonus Q5)
Lotka-Volterra competition question: In eastern Africa, lions and hyenas are in competition with one another. For the lion, K1 = 75 and for the hyena, K2 = 300. Competition parameters are α12 =2.5 and α21 = 3.5 (where α12 represents the effect of species 2 on species 1). Suppose the initial population sizes at a site are 30 lions and 75 hyenas. Plotting lion abundance on the x-axis, and hyena abundance on the y-axis, plot the isoclines (a.k.a. nullclines, ZNGIs) for each species, and plot these initial population sizes paying attention to details such as intercepts on the x and y-axis and accurate placement of initial conditions. Predict the short-term dynamics of each population and the final outcome of interspecific competition.
Email solutions to Dr Park by 5pm, Thurs 13 Oct 2016