Approximating spatially exclusive invasion processes

作者:Ross Joshua V*; Binder Benjamin J
来源:Physical Review E, 2014, 89(5): 052709.
DOI:10.1103/PhysRevE.89.052709

摘要

A number of biological processes, such as invasive plant species and cell migration, are composed of two key mechanisms: motility and reproduction. Due to the spatially exclusive interacting behavior of these processes a cellular automata (CA) model is specified to simulate a one-dimensional invasion process. Three (independence, Poisson, and 2D-Markov chain) approximations are considered that attempt to capture the average behavior of the CA. We show that our 2D-Markov chain approximation accurately predicts the state of the CA for a wide range of motility and reproduction rates.

  • 出版日期2014-5-15