Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model
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.
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Main Authors: | , , , |
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Format: | conference_item biblioteca |
Language: | eng |
Published: |
AIP
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Subjects: | U10 - Informatique, mathématiques et statistiques, L73 - Maladies des animaux, |
Online Access: | http://agritrop.cirad.fr/554447/ http://agritrop.cirad.fr/554447/1/document_554447.pdf |
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Summary: | 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. |
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