Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 81-89 |
| Number of pages | 9 |
| Journal | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences |
| Volume | 69 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 3 Good Health and Well-being
Keywords
- Differential transform method
- Epidemic model
- Fractional differential equations
- Iterative method
- Non-standard scheme
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