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Analysis of HIV Model by KTADM

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.


Yogesh KhandelwalPadama Kumawat and Rachana KhandelwalDepartment of Mathematics, Maharishi Arvind University, Jaipur


Kamal Transform, Kamal Transform Adomian Decomposition Method (KTADM), HIV infection, CD4 T cells



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.