TY  - CONF
PB  - ACM
SN  - 978-1-63190-057-0
M2  - Bratislava, Slovakia
A1  - Tschaikowski, Max
A1  - Tribastone, Mirco
SP  - 74
N2  - We study a spatial framework for process algebra with ordinary differential equation (ODE) semantics. We consider an explicit mobility model over a 2D lattice where processes may walk to neighbouring regions independently, and interact with each other when they are in same region. The ODE system size will grow linearly with the number of regions, hindering the analysis in practice. Assuming an unbiased random walk, we introduce an approximation in terms of a system of reaction-diffusion partial differential equations, of size independent of the lattice granularity. Numerical tests on a spatial version of the generalised Lotka-Volterra model show high accuracy and very competitive runtimes against ODE solutions for fine-grained lattices.
KW  - Approximation
KW  -  Partial Differential Equations
Y1  - 2014///
AV  - none
TI  - A partial-differential approximation for spatial stochastic process algebra
UR  - http://dl.acm.org/citation.cfm?id=2747664
ID  - eprints2733
EP  - 81
T2  - International Conference on Performance Evaluation Methodologies and Tools 
ER  -