Shakoor Pooseh, Helena Sofia Rodrigues, Delfim F. M. Torres
Published 2011-08-08Version 1
We introduce the use of fractional calculus, i.e., the use of integrals and derivatives of non-integer (arbitrary) order, in epidemiology. The proposed approach is illustrated with an outbreak of dengue disease, which is motivated by the first dengue epidemic ever recorded in the Cape Verde islands off the coast of west Africa, in 2009. Numerical simulations show that in some cases the fractional models fit better the reality when compared with the standard differential models. The classical results are obtained as particular cases by considering the order of the derivatives to take an integer value.
Comments: This is a preprint of a paper accepted for presentation at ICNAAM 2011, Numerical Optimization and Applications Symposium, whose final and definite form will appear in AIP Conference Proceedings
Journal: AIP Conf. Proc. 1389 (2011), 739--742
Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform
Uniform approximation of fractional derivatives and integrals with application to fractional differential equations
Symmetric Decompositions of $f\in L^2(\mathbb{R})$ Via Fractional Riemann-Liouville Operators
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