Solution of the SEIR model of epidemics using HAM

In this paper, a new semi analytic technique namely the Homotopy Analysis Method (HAM) is applied for SEIR Epidemic model. HAM is different from already existing perturbation methods, and is most suitable for strongly non linear simultaneous differential equations arising in this model. The advantag...

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Bibliographic Details
Published in:World journal of engineering 2014-06, Vol.11 (3), p.297-310
Main Authors: Ratchagar, Nirmala P, Subramanian, S P
Format: Article
Language:English
Subjects:
Computation
Differential equations
Epidemics
Homotopy theory
Mathematical analysis
Mathematical models
Perturbation methods
Semifabricated products
Transformations (mathematics)
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Summary:In this paper, a new semi analytic technique namely the Homotopy Analysis Method (HAM) is applied for SEIR Epidemic model. HAM is different from already existing perturbation methods, and is most suitable for strongly non linear simultaneous differential equations arising in this model. The advantage of this method is that it provides a direct scheme for solving the problem, i.e. without the need for linearization, perturbation, massive computation and any transformation. MATHEMATICA 8.0 is used to carry out computations. Results were discussed graphically, for four childhood diseases.
ISSN:1708-5284
DOI:10.1260/1708-5284.11.3.297