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lecture12 - Predation 1 3 July 1 Predation Predation when...

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Unformatted text preview: Predation 1 3 July 1 Predation Predation when an animal eats another organism Typical Predation Typical Predation when an animal eats another animal Herbivory Herbivory when an animal eats a plant Parasitism Parasitism when an animal eats an organism that it lives on or in Lotka Lotka-Volterra Predator Volterra Predator-Prey Model Prey Model Population growth rate of prey Population growth rate of prey : d N 1 / d t = r 1 N 1- p N 1 N 2 N 1 = number of prey N 2 = number of predators r 1 = per capita rate of increase of prey p = proportion of N 1 eaten per predator per time unit r 1 N 1 = growth rate of prey without predation = exponential p N 1 N 2 = no. of prey eaten by the predator population = predation rate Example: p = 0.01 prey/day, N1 = 100, N2 = 10, then p N 1 N 2 = 10 prey/day Population growth rate of predator: Population growth rate of predator: d N 2 / d t = ap N 1 N 2- d N 2 a = number of predators produced per prey eaten d = predator per capita death rate ap N 1 N 2 = birth rate of predator population Example: a = 0.1 predator/prey, p N 1 N 2 = 10 prey/day, then ap N 1 N 2 = 1 predator/day Time N 1 N 2 Example: lynx-hare cycles Predation 1 3 July 2 N 1 N 1 The effect of adding logistic growth of prey to the Lokta The effect of adding logistic growth of prey to the Lokta-Volterra model: Volterra model: N 1 Without sediment With sediment Laboratory Study of Protozoa by Gause Laboratory Study of Protozoa by Gause Prey: Paramecium (logistic growth), Predator: Didinum Predation 1 3 July 3 Laboratory Study of Protozoa by Luckinbill...
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lecture12 - Predation 1 3 July 1 Predation Predation when...

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