Comparison of Numerical Methods of the SEIR Epidemic Model of Fractional Order
2014 ◽
Vol 69
(1-2)
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pp. 81-89
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Keyword(s):
In this paper, we consider the SEIR (Susceptible-Exposed-Infected-Recovered) epidemic model by taking into account both standard and bilinear incidence rates of fractional order. First, the nonnegative solution of the SEIR model of fractional order is presented. Then, the multi-step generalized differential transform method (MSGDTM) is employed to compute an approximation to the solution of the model of fractional order. Finally, the obtained results are compared with those obtained by the fourth-order Runge-Kutta method and non-standard finite difference (NSFD) method in the integer case.
2013 ◽
Vol 2013
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pp. 1-7
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Generalized differential transform method: Application to differential equations of fractional order
2008 ◽
Vol 197
(2)
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pp. 467-477
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2015 ◽
Vol 29
(1-3)
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pp. 88-101
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