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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Peer Review Status: Refereed
Author(s): McCaig, Chris
Norman, Rachel
Shankland, Carron
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Title: Process Algebra Models of Population Dynamics
Editor(s): Horimoto, K
Regensburger, G
Rosenkranz, M
Yoshida, H
Citation: McCaig C, Norman R & Shankland C (2008) Process Algebra Models of Population Dynamics In: Horimoto K, Regensburger G, Rosenkranz M, Yoshida H (ed.) Algebraic Biology, Berlin Heidelberg: Springer. Algebraic Biology 2008, 31.7.2008 - 2.8.2008, Castle of Hagenberg, Austria, pp. 139-155.
Issue Date: Jul-2008
Series/Report no.: Lecture Notes in Computer Science, 5147
Conference Name: Algebraic Biology 2008
Conference Dates: 2008-07-31T00:00:00Z
Conference Location: Castle of Hagenberg, Austria
Abstract: It is well understood that populations cannot grow without bound and that it is competition between individuals for resources which restricts growth. Despite centuries of interest, the question of how best to model density dependent population growth still has no definitive answer. We address this question here through a number of individual based models of populations expressed using the process algebra WSCCS. The advantage of these models is that they can be explicitly based on observations of individual interactions. From our probabilistic models we derive equations expressing overall population dynamics, using a formal and rigorous rewriting based method. These equations are easily compared with the traditionally used deterministic Ordinary Differential Equation models and allow evaluation of those ODE models, challenging their assumptions about system dynamics. Further, the approach is applied to epidemiology, combining population growth with disease spread.
Status: Post-print (author final draft post-refereeing)
Rights: Published by Springer Verlag. The original publication is available at

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