Tau-Leaping Implementations outside of chemistry

Detta är en Kandidat-uppsats från Lunds universitet/Statistiska institutionen

Författare: Lotta Kornö; [2024]

Nyckelord: Tau leaping; Mathematics and Statistics;

Sammanfattning: Tau-leaping is an algorithm for model simulations most often used in kinetic chemistry. It was created to make simulations more efficient at the cost of some accuracy. However, its uses outside of chemistry are limited but could help make some model simulations more efficient. This study aimed to implement Tau-leaping and analyze it from a statistical perspective. The Lotka-Volterra prey-predator and SIR models were used to implement Tau-leaping and compared to the exact SSA version. The result was greatly improved run times at the cost of some accuracy. Since these models’ purpose is to understand the evolution and trends in a population, the loss of accuracy wasn’t detrimental. The conclusion then became that Tau-leaping is preferred depending on the purpose of the simulation.

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