Contribution to the Theory of Periodic Reactions

By A. J. Lotka

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Citations in the corpus

Causal Models for Dynamical Systems (2020, methodology): “The Lotka-Volterra model [Lotka, 1909] takes the form where A and B describe abundance of prey and predators, respectively.”
Ecological collapse and the emergence of travelling waves at the onset of shear turbulence (2015, background): “this reaction happens if another uniformly distributed random number is less than 1 − expμ); (2) if 1/6 ≤ s < 1/3 and the site i is occupied by a prey individual, and if a randomly chosen neighbor site, j, is empty, then one prey individual is born on the site j with rate b; (3) if 1/3 ≤ s < 1/2 and”
Identifying Causal Structure in Large-Scale Kinetic Systems (2018, methodology): “A famous example is the Lotka-Volterra model [Lotka, 1909].”
Big answers from small worlds: a user's guide for protist microcosms as a model system in ecology and evolution (2015, background): “Indeed, Gause experimentally linked theoretical concepts of predator–prey dynamics (Lotka 1910; Volterra 1926) and fluctuations observed in natural populations, developing and using a protist microcosm system containing the ciliate Paramecium aurelia and its predator Didinium nasutum.”
Toward a general theory of evolution: Extending Darwinian theory to inanimate matter (2011, background): “As has been appreciated since the early pioneering work of Lotka [33], the replication reaction, exemplifying an autocatalytic process, is kinetically unique in that unmitigated replication will often result in exponential growth.”