Parallel and sequential methods for ordinary differential equations
Parallel and sequential methods for ordinary differential equations
ICS '90 Proceedings of the 4th international conference on Supercomputing
The Mathematics of Infectious Diseases
SIAM Review
An integrative approach to high-performance biomedical problem solving environments on the Grid
Parallel Computing - Special issue: High-performance parallel bio-computing
Future Generation Computer Systems
RLadyBug-An R package for stochastic epidemic models
Computational Statistics & Data Analysis
eMicrob: a grid-based spatial epidemiology application
ICCS'05 Proceedings of the 5th international conference on Computational Science - Volume Part III
Parallelization of implicit-explicit runge-kutta methods for cluster of PCs
Euro-Par'05 Proceedings of the 11th international Euro-Par conference on Parallel Processing
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The compartmental models using differential equations are ones of the basic models in epidemiology. The temporal evolution of spatial models for epidemic spread is suitable for parallelization and as sequel Grid services are solutions for speed-up the algorithms used in these models. Several computational aspects of parallel algorithms used in small world networks model are investigated. The four compartmental small world network model of disease propagation (SEIR) is parallelized. In the second application, We have found an asymptotic solution of zero degree for a nonlinear differential parabolic equations system with a unique, with small parameter, in a cancerous disease model. We got a cancerous cells density using simulation in three stages according with some system parameter value. Grid services have been constructed for these numeric simulations.