Limit Cycle Oscillations, response time and the time-dependent solution to the Lotka-Volterra Predator-Prey model
Plasma Physics
2022-02-08 v3
Abstract
In this work, the time-dependent solution for the Lotka-Volterra Predator-Prey model is derived with the help of the Lambert W function. This allows an exact analytical expression for the period of the associated limit-cycle oscillations (LCO), and also for the response time between predator and prey population. These results are applied to the predator-prey interaction of zonal density corrugations and turbulent particle flux in gyrokinetic simulations of collisionless trapped-electron model (CTEM) turbulence. In the turbulence simulations, the response time is shown to increase when approaching the linear threshold, and the same trend is observed in the Lotka-Volterra model.
Keywords
Cite
@article{arxiv.2110.11557,
title = {Limit Cycle Oscillations, response time and the time-dependent solution to the Lotka-Volterra Predator-Prey model},
author = {M. Leconte and P. Masson and Lei Qi},
journal= {arXiv preprint arXiv:2110.11557},
year = {2022}
}
Comments
16 pages, 7 figures, accepted in 'Physics of Plasmas'