Spatial variability enhances species fitness in stochastic predator-prey interactions

Details Spatial variability enhances species fitness in stochastic predator-prey interactions Spatial variability enhances species fitness in stochastic predator-prey interactions

2008-04-25

arxiv.org/abs/0804.4127v2

Phys. Rev. Lett. 101 (2008) 258102

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.101.258102

We study the influence of spatially varying reaction rates on a spatial stochastic two-species Lotka-Volterra lattice model for predator-prey interactions using two-dimensional Monte Carlo simulations. The effects of this quenched randomness on population densities, transient oscillations, spatial correlations, and invasion fronts are investigated. We find that spatial variability in the predation rate results in more localized activity patches, which in turn causes a remarkable increase in the asymptotic population densities of both predators and prey, and accelerated front propagation.

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