Stochastic competition between two populations in space

S. Pigolotti, R. Benzi, M.H. Jensen, P. Perlekar, F. Toschi

Research output: Chapter in Book/Report/Conference proceedingChapterAcademic

2 Citations (Scopus)
4 Downloads (Pure)

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.
Original languageEnglish
Title of host publicationCollective dynamics from bacteria to crowds : an excursion through modeling, analysis and simulation
EditorsA. Muntean, F. Toschi
Place of PublicationVienna
PublisherSpringer
Pages105-117
ISBN (Print)978-3-7091-1784-2
DOIs
Publication statusPublished - 2014

Publication series

NameCISM Courses and Lectures
Volume553
ISSN (Print)0254-1971

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