Abstract
We present a model describing spatial competition between two biological populations. Individuals belonging to the two populations diffuse in space, reproduce, and die as effect of competitions; all these processes are implemented stochastically. We focus on how the macroscopic equations for the densities of the two species can be derived within the formalism of the chemical master equations. We also compare the case in which the total density of individuals is kept fixed by constraint with a case in which it can fluctuate.
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Pigolotti, S., Benzi, R., Jensen, M.H., Perlekar, P., Toschi, F. (2014). Stochastic competition between two populations in space. In: Muntean, A., Toschi, F. (eds) Collective Dynamics from Bacteria to Crowds. CISM International Centre for Mechanical Sciences, vol 553. Springer, Vienna. https://doi.org/10.1007/978-3-7091-1785-9_4
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DOI: https://doi.org/10.1007/978-3-7091-1785-9_4
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-1784-2
Online ISBN: 978-3-7091-1785-9
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