Limit cycle oscillations, response time, and the time-dependent solution to the Lotka–Volterra predator–prey model

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چکیده

In this work, the time-dependent solution for Lotka-Volterra Predator-Prey model is derived with help of Lambert W function. This allows an exact analytical expression period associated limit-cycle oscillations (LCO), and also response time between predator prey population. These results are applied to predator-prey interaction zonal density corrugations turbulent particle flux in gyrokinetic simulations collisionless trapped-electron (CTEM) turbulence. turbulence simulations, shown increase when approaching linear threshold, same trend observed model.

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ژورنال

عنوان ژورنال: Physics of Plasmas

سال: 2022

ISSN: ['1070-664X', '1527-2419', '1089-7674']

DOI: https://doi.org/10.1063/5.0076085