The Lotka-Volterra predator-prey model

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Effect of a refuge on prey-predator population dynamics (Gause et al. 1936) dR dt dC dt = rR − Cf(R) = (ef(R) − m)C 0.6 0.5 f f f 0.4 0.3 0.2 0.1 R c R 0.0 0.0 r 0.5 1.0 1.5 2.0 2.5 3.0 R c R
Using this functional response, Gause predicted existence of a predator-prey limit cycle
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: Functional response Population dyna
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 and 50: Model predictions 1. First, bacteri
Page 51: Conclusion: There is no significant
Page 55: [1] Volterra V. 1926. Fluctuations

The Lotka-Volterra predator-prey model

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