The Lotka-Volterra predator-prey model

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Growth rate parameters of Klebsiela oxytoca on single substrates (Kompala et. al. 1986) glucose µ K YY 1.08 0.01 0.52 arabinose 1.00 0.05 0.5 fruktose 0.94 0.01 0.52 xylose 0.82 0.2 0.5 lactose 0.95 4.5 0.45
Conclusion: <strong>The</strong>re is no significant difference between observed times of switching and predicted times of switching. Thus, bacteria switch between different sugars at times at which their fitness is maximized. This shows that the lac operon is evolutionarily optimized.
Page 1 and 2: The Lotka-Volterra predator-prey mo
Page 3 and 4: “Why did the percentage of predat
Page 5 and 6: …and the (Lotka-)Volterra predato
Page 7 and 8: …soon after, a young student at M
Page 9 and 10: …and with mites… Outcome of exp
Page 11 and 12: …but he never observed the Lotka-
Page 13 and 14: …and this lead him to the Gause m
Page 15 and 16: Functional response Population dyna
Page 17 and 18: Using this functional response, Gau
Page 19 and 20: C⊣⊓⌋〈†√∇≀⌊↕⌉
Page 22 and 23: Prey isocline R 1.5 1.0 Limit cycle
Page 25 and 26: Gause’s work resulted in publicat
Page 27 and 28: Behavioral response of prey to pred
Page 29 and 30: Lotka-Volterra dR dt = (r − λP )
Page 31 and 32: What are the prey and predator opti
Page 33 and 34: Ps Rs Both prey and predators are a
Page 35 and 36: Lotka-Volterra Lotka-Volterra with
Page 37 and 38: Prey switching Guppies Proportion o
Page 39 and 40: Optimal prey switching Consumer fit
Page 41 and 42: No adaptive predation Adaptive pred
Page 43 and 44: Population dynamics dx i dt = x if
Page 45 and 46: Population growth of bacteria on tw
Page 47 and 48: Optimal strategy maximizing bacteri
Page 49: Model predictions 1. First, bacteri
Page 55: [1] Volterra V. 1926. Fluctuations

The Lotka-Volterra predator-prey model

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