[1]   R. M. Anderson, et al., “A Preliminary Study of the Transmission Dynamics of the Human Immunodeficiency Virus (HIV), the Causative Agent of AIDS,” Mathematical Medicine and Biology, Vol. 3, No. 4, 1986, p. 229-263. doi:10.1093/imammb/3.4.229

[2]   Y. Asif and K. Dogan, “A Numerical Comparison for Coupled Boussines Equations by Using the ADM,” Proceedings of Dynamical Systems and Applications, 5-10 July 2004, Antalya, pp. 730-736.

[3]   N. T. J. Bailley, “Some Stochastic Models for Small Epidemics in Large Population,” Applied Statistics, Vol. 13, No. 1, 1964, pp. 9-19. doi:10.2307/2985218

[4]   N. T. J. Bailley, “The Mathematical Theory of Infection Diseases and Its Application,” Applied Statistics, Vol. 26, No. 1, 1977, pp. 85-87. doi:10.2307/2346882

[5]   M. S. Bartlett, “An Introduction to Stochastic Processes,” 3rd Edition, Cambridge University Press, Cambridge, 1978.

[6]   B. Batiha, M. S. M. Noorani and I. Hashim, “Numerical Solutions of the Nonlinear Integro-Differential Equations,” International Journal of Open Problems in Computer Science, Vol. 1, No. 1, 2008, pp. 34-42.

[7]   D. J. Evansa and K. R. Raslan, “The Adomian Decompositio Methode for Solving Delay Differential Equation,” International Journal of Computer Mathematics, Vol. 00, No. 0, 2004, pp.1-6.

[8]   H. A. Zedan and Al-A. Eman, “Numerical Solutions for a Generalized Ito System by Using Adomian Decomposition Method,” International Journal of Mathematics and Computation, Vol. 4, No. S09. 2009, pp. 9-19.

[9]   D. Kaya and Inc, “On the Solution of the Nonlinear Wave Equation by the Decomposition Method,” Bull. Malaysian Math. Soc. (Second Series) 22. 1999, p. 151-155.

[10]   K. R. Raslan, “The Decomposition Methode for a Hirota-Satsuma Coupled KdV Equation and a Coupled MKdV Equation,” International Journal of Computer Mathematics, Vol. 81, No. 12, 2004, pp. 1497-1505. doi:10.1080/0020716042000261405

[11]   S. Pamuk, “An Application for Linear and Nonlinear Heat Equations by Adomian’s Decomposition Method,” Applied Mathematics and Computation, Vol. 163, No. 1, 2005, pp. 89-96. doi:10.1016/j.amc.2003.10.051

[12]   T. M.-D. Syed, “On Numerical Solutions of Two-Dimensional Boussinesq Equations by Using Adomian Decomposition and He’s Homotopy Perturbation Method,” Applications and Applied Mathematics. An International Journal, No. 1, 2010, pp. 1-11.

[13]   V. Makarov and D. Dragunov, “A Numeric-Analytical Method for Solving the Cauchy Problem for Ordinary Diferential Equations,” Applied Mathematics and Computation, 2010, pp. 1-26.

[14]   L. Wu, F.-D. Zong and J.-F. Zhang, “Adomian Decomposition Method for Nonlinear Differential-Difference Equation,” Communications in Theoretical Physics, Vol. 48, No. 6, 2007, pp. 983-986. doi:10.1088/0253-6102/48/6/004

[15]   K. Wang, W. Wang, X. Liu, “Viral Infection Model with Periodic Lytic Immune Response,” Chaos, Solitons & Fractals, Vol. 28, No. 1, 2006, pp. 90-99. doi:10.1016/j.chaos.2005.05.003

[16]   W. Wang, “Global Behavior of an SEIRS Epidemic Model with Time Delays,” Applied Mathematics Letters, Vol. 15, No. 4, 2002, pp. 423-428. doi:10.1016/S0893-9659(01)00153-7

[17]   D. Greenhalgh, Q. J. A. Khanand and F. I. Lewis, “Recurrent Epidemic Cycles in an Infectious Disease Model with a Time Delay in Loss of Vaccine Immunity,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 63, No. 5-7, 2005, pp. 779-788. doi:10.1016/j.na.2004.12.018

[18]   G. Li and J. Zhen, “Global Stability of a SEIR Epidemic Model with Infectious Force in Latent, Infected and Immune Period,” Chaos, Solitons & Fractals, Vol. 25, No. 5, 2005, pp. 1177-1184. doi:10.1016/j.chaos.2004.11.062

[19]   Y. N. Kyrychko and K. B. Nlyuss, “Global Properties of a Delayed SIR Model with Temporary Immunity and Nonlinear Incidence Rate,” Nonlinear Analysis: Real World Applications, Vol. 6, No. 3, 2005, pp. 495-507. doi:10.1016/j.nonrwa.2004.10.001