The dynamics of Mathematical model of Human Immunodeficiency
Virus with three non overlapping classes has been taken into consideration in
this chapter. A mathematical model that calculates susceptible CD4+T
cells, infected CD4+T cells and virus particles has been examined
here using the fractional differential transform method(FDTM) with stability
analysis. A stability of the fractional nonlinear model with Hurwitz state
matrix is examined using the Lyapunov direct method. A brief review of
literature for integer order as well as fractional order on mathematical
biological modeling has been collected to solidify our mathematical approach to
solve the proposed HIV model. A nonlinear mathematical model of differential
equations has been put forward and analyzed by applying FDTM. The proposed
technique gives a solution in the form convergent series as a linear
combination in the form of polynomial. An infinite series solution of the
system of differential equation is computed by defining fixed components with
different time intervals. Furthermore, the solution calculated through FDTM (
integer order) is correlated with the solution calculated using DTM and Laplace
Adomain Decomposition Method. Additionally, the graphical representation of the
model is given using the fourth order Runge Kutta Method. The solution is
analyzed numerically and graphically by using the software Python.
Author (s) Details
A. R. Meshram
Department of Mathematics, Netaji Subhashchandra Bose, College, Nanded,
Maharashtra- 431601, India.
R. A. Muneshwar
Department of Computer Science, N.E.S. Science College, Nanded,
Maharashtra- 431602, India.
Please see the book here: https://doi.org/10.9734/bpi/mcscd/v5/2140
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