Population Dynamics in Spatially Heterogeneous Systems with Drift: the generalized contact process

Abstract

We investigate the time evolution and stationary states of a stochastic, spatially discrete, population model (contact process) with spatial heterogeneity and imposed drift (wind) in one- and two-dimensions. We consider in particular a situation in which space is divided into two regions: an oasis and a desert (low and high death rates). Carrying out computer simulations we find that the population in the (quasi) stationary state will be zero, localized, or delocalized, depending on the values of the drift and other parameters. The phase diagram is similar to that obtained by Nelson and coworkers from a deterministic, spatially continuous model of a bacterial population undergoing convection in a heterogeneous medium.

8 papes, 12 figures

References in corpus (2)

• Non-Hermitian Localization and Population Biology
• The Importance of Being Discrete - Life Always Wins on the Surface

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• Low complexity model to study scale dependence of phytoplankton dynamics in the tropical Pacific
• Population growth and persistence in a heterogeneous environment: the role of diffusion and advection