Comparison of some standard and nonstandard numerical methods for the MSEIR epidemiological model

AIP Conference Proceedings

Volumn 1168, Issue , 2009, Pages 1209-1212

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

^a UNIVERSITY OF PRETORIA   (South Africa)

^b CIRAD   (France)

^c OAKLAND UNIVERSITY   (United States)

Author keywords

Dynamical system; Non standard finite difference methods; Numerical simulations

Indexed keywords

EID: 70450161684     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3241285     Document Type: Conference Paper

References (6)

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3. Y Dumont, F. Chiroleu and C. Domerg, On a temporal model for the Chikungunya disease: modeling, theory and numerics. Math. Biosc. (2008), 213, 80-91.
4. J.C. Kamgang and G. Sallet, Computation of threshold conditions for epidemiological models and global stability of the disease free equilibrium (DFE), Math. Biosc. (2008), 213, no 1, 1-12
5. R.E. Mickens, Nonstandard Finite Difference Approximations of Differential Equations, World Scientific, Singapore, 1994
6. H.W. Heathcote, The mathematics of infectious disease, SI AM review (2000), 42 4, 599-653