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|Title:||Approximating spatially exclusive invasion processes|
|Citation:||Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 2014; 89(5):052709-1-052709-7|
|Publisher:||American Physical Society|
|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.|
|Rights:||©2014 American Physical Society|
|Appears in Collections:||Aurora harvest 3|
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