Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model
Anguelov R., Dumont Y., Lubuma J., Shillor M.. 2009. In : Psihoyios George (ed.), Tsitouras C. (ed.), Simos Theodore E. (ed.). Numerical analysis and applied mathematics : International Conference on Numerical Analysis and Applied Mathematics 2009, Rethymno, Crete, Greece, 18-22 September 2009. Melville : AIP, p. 1209-1212. (AIP Conference proceedings, 1168). International Conference on Numerical Analysis and Applied Mathematics 2009, 2009-09-18/2009-09-22, Rethymnon (Grèce).
DOI: 10.1063/1.3241285
The paper presents some non-standard finite difference methods for the MSEIR model. Following a short description of the methods, they are compared with the standard methods usually implemented in scientific software. It is shown that the non-standard schemes are superior to the standard ones with respect to their qualitative properties and the CPU running time. We show that non-local approximations of non linear terms in the equations can be of utmost importance to capture the dynamic of the system.
Documents associés
Communication de congrès
Agents Cirad, auteurs de cette publication :
- Dumont Yves — Bios / UMR AMAP