Analysis of HIV Model by KTADM
Abstract:
This manuscript presents a procedure in the direction of get the emulsion of dynamic pattern in place of HIV infection of CD4+T cells. Intended for methodical mix of non linear differential equation, we are by Kamal Transform Adomian Decomposition Method (KTADM). This procedure gives consistent as a consequence effectual suspension of HIV model.
Author(s):
Yogesh Khandelwal, Padama Kumawat and Rachana Khandelwal, Department of Mathematics, Maharishi Arvind University, Jaipur
DOI:
Keywords:
References
R.M. Anderson and R.M .May, Complex dynamical behaviour in the interaction between HIV and the immune system, in cell to cell signalling: From Experiments to Theoretical Models, A.Goldbeter,Ed., Academic, New York, 335–349, 1989.
A. S. Perelson, Modeling the interaction of the immune system with HIV, in Mathematical and Statistical Approaches to AIDS Epidemiology, C. Castillo-Chavez, Ed., vol. 83 of Lecture Notes in Biomathematics, pp. 350–370, Springer, New York, NY, USA, 1989.
A. S. Perelson, D. E. Kirschner, and R. De Boer, Dynamics of HIV infection of CD4+ T cells , Mathematical Biosciences, vol.114, no. 1, pp. 81–125, 1993.
N.Do ̆gan, Numerical treatment of the model for HIV infection of CD4+T cells by using multistep Laplace Adomian decomposition method, Discrete Dynamics in Nature and Society, vol. 2012, Article ID976352, 11 pages, 2012.
M. Y. Ongun, The Laplace Adomian decomposition method for solving a model for HIV infection of CD4+T cells, Mathematical and Computer Modelling, vol. 53, no. 5–6, pp. 597–603, 2011.
S.Balamuralitharan and V.Geetha, Analytical approach to solve the model for HIV infection of CD4+T cells using LADM, International Journal of Pure and Applied Mathematics, Vol. 113 No. 11, 243–251, 2017.
Abdelilah Kamal. H. Sedeeg, The New Integral Transform Kamal Transform, Advances in Theoretical and Applied Mathematics, Vol.11, No.4, pp.451-458,2016.
Adomian, G. Solving frontier problems of physics: the decomposition method, Springer Science & Business Media, Vol. 60, 2013.
Abdelilah Kamal, H. Sedeeg and Zahra, I. Adam Mahamoud, The use of Kamal Transform for Solving Partial Differential Equations, Advances in Theoretical and Applied Mathematics, Vol.12, No.1, pp.7–13, 2017.
O. Kiymaz, An algorithm for solving initial value problems using Laplace Adomian Decomposition Method, Appl. Math. Sci., 3 (30) 2009.
Khandelwal Rachana, Solution of fractional ordinary differential equation by Kamal transform, International Journal of Statistics and Applied Mathematics, 3(2): 279–284, 2018
L. Wang, M.Y. Li, Mathematical analysis of the global dynamics of a model for HIV infection CD4+T cells, Math.Biol.,, 200(2006), 4457.
A.S. Perelson, P.W. Nelson, Mathematical analysis of HIV-I dynamics in vivo, SIAM Rev..,, 41(3) ,1999.
M. Nowak, R. May, Mathematical biology of HIV infections: antigenic variation and diversity threshold, Math. Biosci… 106(121), 1991.
