Title
A Tool for the Automatic Derivation of Symbolic ODE from Symmetric Net Models
Abstract
High-level Petri nets (HLPNs) are an expressive formalism well supported by a number of tools that automate the editing and the interactive simulation of models and some kinds of analytical techniques, mainly based on state-space exploration. Structural analysis of HLPNs is, however, a challenging task not yet adequately supported and it is often accomplished via the unfolding of an HLPN into a corresponding low-level Petri Net. An approach to derive a system of Ordinary Differential Equations (ODEs) from a Stochastic Symmetric Net (SSN) has been proposed a few years ago, based on the net's unfolding and subsequent grouping of similar equations. This method has been recently improved by providing an algorithm that directly derives a compact ODE system (from a partially unfolded net) in a symbolic way, through algebraic manipulation of SSN annotations. In this paper, we present the automation of the calculus of Symbolic ODEs (SODEs) for SSN models as a new module of SNexpression, a tool for the symbolic structural analysis of Symmetric Nets. An application of the tool/technique to a variant of a SIRS epidemic model including antibiotic resistance is also described.
Year
DOI
Venue
2019
10.1109/MASCOTS.2019.00015
2019 IEEE 27th International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems (MASCOTS)
Keywords
Field
DocType
High-Level Petri Nets, Symmetric Nets, Symbolic structural relations, Ordinary Differential Equations
Algebra,Computer science,Ode,Distributed computing
Conference
ISSN
ISBN
Citations 
2375-0227
978-1-7281-4950-9
0
PageRank 
References 
Authors
0.34
10
6
Name
Order
Citations
PageRank
Marco Beccuti119526.04
Lorenzo Capra28818.08
Massimiliano De Pierro31199.28
G. Franceschinis4107570.58
Laura Follia521.83
Simone Pernice611.40