- You Will Answer This Question On A Separate Sheet Of Paper Scan The Paper With Your Phone And Then Upload It To This Qu 1 (73.65 KiB) Viewed 13 times
You will answer this question on a separate sheet of paper. Scan the paper with your phone and then upload it to this question. The Lotka-Volterra Predator Prey model mathematically models predator-prey cycles. The pair of equations are given to you below. dN/dt =rN-aNP dP/dt = abNP-mP Suppose you have a predator/prey system in which flies are the only prey and food supply for a population of spiders and that this system can be modeled using Lotka-Volterra equations. The mortality rate of spiders in the absence of flies is 0.1 per week, and the intrinsic growth rate of flies in the absence of spiders is 0.4 per week. The capture efficiency is 0.003, and the efficiency at which fly biomass is converted into spider biomass is 0.2. • Use a phase plane plot to indicate the short term population dynamics between these two species. o Create a phase plane plot - label the axes (1 pts). o Draw the zero growth isoclines for both flies and spiders (2 points). o If the population of flies started at 200 and the population of spiders starts at 75, what would be the short term population trajectory of these two species (3 points) o Draw a graph of population size by time for spiders and flies. (2 pts) . There are a number of shortcomings in this model. One is that getting the values for all the variables is difficult. Others relate to the biology and ecology of the predators and prey, and the assumptions inherent in the model. Tell me about ONE of these problems and how the model can be changed to correct it (2 pts).