International Multiconference on Computer Science and Information Technology, 2010.  

TITLE: On the numerical analysis of stochastic Lotka-Volterra models

AUTHORS: Tugrul Dayar, Linar Mikeev, and Verena Wolf  

ABSTRACT: The stochastic Lotka-Volterra model is an infinite Markov population 
model that has applications in various life science domains. Its analysis is 
challenging since, besides an infinite state space with unbounded rates, it shows
strongly fluctuating dynamics and becomes unstable in the long-run. Traditional 
numerical methods are therefore not appropriate to solve the system. Here, we 
suggest adaptations and combinations of traditional methods that yield fast and 
accurate solutions for certain parameter ranges of the stochastic Lotka-Volterra 
model. We substantiate our theoretical investigations with a comparison based on 
experimental results.