Stochastic effects on biodiversity in cyclic coevolutionary dynamics

Abstract

Finite-size fluctuations arising in the dynamics of competing populations may have dramatic influence on their fate. As an example, in this article, we investigate a model of three species which dominate each other in a cyclic manner. Although the deterministic approach predicts (neutrally) stable coexistence of all species, for any finite population size, the intrinsic stochasticity unavoidably causes the eventual extinction of two of them.

5 pages, 2 figures. Proceedings paper of the workshop "Stochastic models in biological sciences" (May 29 - June 2, 2006 in Warsaw) for the Banach Center Publications

Cited by in corpus (6)

• Stochastic population dynamics in spatially extended predator-prey systems
• Spatial Rock-Paper-Scissors Models with Inhomogeneous Reaction Rates
• Co-existence in the two-dimensional May-Leonard model with random rates
• The Influence of Mobility Rate on Spiral Waves in Spatial Rock-Paper-Scissors Games
• On the relationship between cyclic and hierarchical three-species predator-prey systems and the two-species Lotka-Volterra model
• Survival behavior in the cyclic Lotka-Volterra model with a randomly switching reaction rate