Dynamically consistent non-standard finite difference schemes for the mseir epidemiological model

AIP Conference Proceedings

Volumn 1168, Issue , 2009, Pages 1213-1216

  Anguelov, Roumen ^a   Dumont, Yves ^b   Lubuma, Jean M S ^a   Shillor, Meir ^c  

^a UNIVERSITY OF PRETORIA   (South Africa)

^b UMR AMAP   (France)

^c OAKLAND UNIVERSITY   (United States)

Author keywords

Asymptotic stability; Conservation of population; Dynamical systems; Non standard finite difference method; Positivity

Indexed keywords

EID: 70450183505     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3241286     Document Type: Conference Paper

References (8)

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7. R. Anguelov, Y. Dumont, J.M-S. Lubuma and M. Shillor, Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model, AIP Conference Proceedings, this volume.
8. Y. Dumont, R Chiroleu and C. Domerg, On a temporel model for the Chikungunya disease: Modeling, theory and numerics, Mathematical Biosciences 213, 80-91 (2008