Adelaide Research & Scholarship
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https://hdl.handle.net/2440/100553
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| Type: | Journal article |
| Title: | Approximating spatially exclusive invasion processes |
| Author: | Ross, J.V. Binder, B.J. |
| 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 1550-2376 |
| Statement of Responsibility: | 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: | http://purl.org/au-research/grants/arc/DP110102893 http://purl.org/au-research/grants/nhmrc/1069757 |
| Published version: | http://dx.doi.org/10.1103/physreve.89.052709 |
| Appears in Collections: | Aurora harvest 3 Mathematical Sciences publications |
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