BIOL 2060 Lecture Notes - Lecture 9: Paramecium, Intraspecific Competition, Trophic Cascade
Document Summary
What is predation and how does it affect population growth. How can we modigy our population growth equations for predaors and prey? r=b-d. Death rate: one part being killed by predator, one part being killed by the predator we are considering. #prey type i functional type ii type iii. The answer is apparently a -ignores density dependence (simple form) because the equation does not involve density dependence. Lotka-volterra model of predation: predator equation dnprey/dt=(rprey-apred1npred1-apred2npred2)nprey dnpred/dt=(bpredator-dpredator)npredator dnpredator/dt=(abnprey-dpredator)npredator (m is death rate for predator which is same as dpredator) anprey=#prey killed per predator b=(# of offspring produced)/(prey capture) a is characteristic of predator and prey. Lotka-volterra model of predation m=dpred? a=capture efficiency = per capita probability of being killed per predator anpred =per capita probability of being killed anprey =#prey killed per predator: b=conversion efficiency, population growth rate=0 isocline. Lokta-volterra model of predation: equilibrium solution for the prey equation. Population growth rate of prey will declined if too much predator and vv.