Analysis and numerical solution of SEIR epidemic model of measles with non-integer time fractional derivatives by using Laplace Adomian Decomposition Method
Tài liệu tham khảo
Brauer, 2008
Ma, 2009
Murray, 2002
Sontag, 2014
AL-Smadi, 2014, On the homotopy analysis method for fractional SEIR epidemic model, Res J Appl Sci, Eng Technol, 7, 3809, 10.19026/rjaset.7.738
El-Sheikh, 2004, On stability and bifurcation of solutions of an SEIR epidemic model with vertical transmission, Int J Math Math Sci, 2004, 2971, 10.1155/S0161171204310380
Anderson, 1979, Population biology of infectious diseases: Part II, Nature, 280, 455461, 10.1038/280361a0
Momoh, 2013, Manga Sb. Mathematical model for control of measles epidemology. Int, J Pure Appl. Math., 87, 707
Odibat, 2006, Approximations of fractional integrals and Caputo fractional derivatives, Appl Math Comput, 178, 527, 10.1016/j.amc.2005.11.072
Luchko, 1999, An operational method for solving fractional differential equations with the Caputo derivatives, Acta Math Vietnamica, 24, 207
Luchko, 1985, The exact solution of certain differential equations of fractional order by using operational calculus, Comput Math Appl, 29, 73, 10.1016/0898-1221(95)00031-S
Momani S, Freihat A, AL-Smadi M. Analytical study of fractional-order multiple chaotic FitzHugh-Nagumo neurons model using multistep generalized differential transform method. Abstr Appl Anal 2014. Article ID 276279, 10 pages. https://doi.org/10.1155/2014/276279.
Das, 2008
2007
Johnston, 2016, Laplace homotopy perturbation method for Burgers equation with space and time-fractional order, Open Phys, 14, 247, 10.1515/phys-2016-0023
Podlubny, 1999
Arqub, 2013, Solution of the fractional epidemic model by homotopy analysis method, J King Saud Univ Sci, 25, 73, 10.1016/j.jksus.2012.01.003
Rida, 2016, Solution of the fractional epidemic model by L-ADM, J Fraction Calculus Appl, 7, 89