Extreme events in coupled Lotka Volterra systems

Abstract

We review the most important parts of a recent paper on the occurrence of extreme events in a generalized Lotka Volterra system, and reproduce the key results of the paper. We then extend the results to the occurrence of extreme events in a simple Lotka Volterra system. We study the characteristics of dynamics in the system that gives rise to extreme events in the simple Lotka Volterra system. We study the spatio-temporal occurrence of the extreme events. We also quantify the strength of the events as a function of coupling in the system. Further, we investigate the occurrence of extinction in the system for some special values of the coupling.