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We present two individual based models of disease systems using PEPA (Performance Evaluation Process Algebra). The models explore contrasting mechanisms of disease transmission: direct transmission (e.g. measles) and indirect transmission (e.g. malaria, via mosquitos). We extract ordinary differential equations (ODEs) as a continuous approximation to the PEPA models using the Hillston method and compare these with the traditionally used ODE disease models and with the results of stochastic simulation. Improvements to the Hillston method of ODE extraction for this context are proposed, and the new results compare favourably with stochastic simulation results and to ODEs derived for equivalent models in WSCCS (Weighted Synchronous Calculus of Communicating Systems).
|Number of pages||16|
|Journal||Electronic Notes in Theoretical Computer Science|
|Publication status||Published - 1 Feb 2009|
- changing scale
- individual based model
- population based model
- process algebra
FingerprintDive into the research topics of 'Improved Continuous Approximation of PEPA Models Through Epidemiological Examples'. Together they form a unique fingerprint.
- 1 Finished
CODA: Process Algebra Approaches to Collective Dynamics
1/10/05 → 30/09/10