ECOL 3505H Lecture Notes - Lecture 6: Microorganism, Escherichia Coli, Measles

• School: University of Georgia
• Department: Ecology
• Course: ECOL 3505H
• Professor: Ford Ballantyne

Document Summary

P- predators, consumers dn/dt = rn-cnp dp/dt = acnp-dp. These equations don"t have an analytical solution analyze qualitatively. Step 1: set equations equal to zero neither n nor p is changing over time. Step 2: solve for n and p in terms of parameters (r,c,a,d) [n and p are not changing over time] dn/dt = rn cnp = n(r-cp) = 0 dp/dt = acnp dp = p(acn -d) = 0. Case 1: n = 0 and p=0 but this isn"t interesting. Case 2: n = d/ac and p = r/c. ***increase in r leads to increase in predators, but not prey. This qualitative predict is not observed for wolf-moose interactions. Measles shows fluctuations as the result of c-r interactions . Different degrees of susceptibility to the disease. Possible density changes as humans died which causes the spread of the disease to slow down. The lotka-volterra model captures a key feature of the empirical pattern, but not exactly.