Some properties of the Kermack-McKendrick epidemic model with fractional derivative and nonlinear incidence

Author:

Doungmo Goufo Emile Franc,Maritz Riëtte,Munganga Justin

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference20 articles.

1. Kermack WO, McKendrick AG: A contribution to mathematical theory of epidemics. Proc. R. Soc. Lond. A 1927, 115: 700-721. 10.1098/rspa.1927.0118

2. Kermack WO, McKendrick AG: Contributions to the mathematical theory of epidemics. Bull. Math. Biol. 1991, 53: 33-55.

3. Brockmann D, Hufnagel L: Front propagation in reaction-superdiffusion dynamics: taming Lévy flights with fluctuations. Phys. Rev. Lett. 2007., 98: Article ID 178301

4. Pooseh S, Rodrigues HS, Torres DFM: Fractional derivatives in dengue epidemics. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics. Edited by: Simos TE, Psihoyios G, Tsitouras C, Anastassi Z. Am. Inst. of Phys., Melville; 2011:739-742.

5. Oldham KB, Spanier J: The Fractional Calculus. Academic Press, New York; 1974.

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