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Type: Journal article
Title: Approximating spatially exclusive invasion processes
Author: Ross, J.
Binder, B.
Citation: Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2014; 89(5):052709-1-052709-7
Publisher: American Physical Society
Issue Date: 2014
ISSN: 1539-3755
Statement of
Joshua V. Ross, and Benjamin J. Binder
Abstract: 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.
Keywords: Markov Chains
Stochastic Processes
Cell Movement
Models, Biological
Computer Simulation
Introduced Species
Rights: ©2014 American Physical Society
DOI: 10.1103/PhysRevE.89.052709
Grant ID:
Appears in Collections:Aurora harvest 3
Mathematical Sciences publications

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