scholarly journals Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem

2016 ◽  
Vol 06 (02) ◽  
pp. 141-152 ◽  
Author(s):  
Samaneh Soradi Zeid ◽  
Mostafa Yousefi ◽  
Ali Vahidian Kamyad
Keyword(s):  
Linear Programming ◽  
Hiv Infection ◽  
Programming Problem ◽  
Fractional Order ◽  
Linear Programming Problem ◽  
Approximate Solutions ◽  
Order Model ◽  
Fractional Order Model

scholarly journals Solving a fractional order model of HIV infection of CD4+ T cells

2011 ◽  
Vol 54 (9-10) ◽  
pp. 2132-2138 ◽  
Author(s):  
Ahmet Gökdoǧan ◽  
Ahmet Yildirim ◽  
Mehmet Merdan
Keyword(s):  
T Cells ◽  
Hiv Infection ◽  
Fractional Order ◽  
Cd4 T Cells ◽  
Order Model ◽  
Fractional Order Model

scholarly journals Dynamical Analysis of Approximate Solutions of HIV-1 Model with an Arbitrary Order

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-7 ◽  
Author(s):  
Asma ◽  
Nigar Ali ◽  
Gul Zaman ◽  
Anwar Zeb ◽  
Vedat Suat Erturk ◽  
...  
Keyword(s):  
Fractional Order ◽  
Dynamical Behavior ◽  
Adomian Decomposition Method ◽  
Approximate Solutions ◽  
Dynamical Analysis ◽  
Order Model ◽  
Hiv Model ◽  
Fractional Order Model ◽  
Adomian Decomposition ◽  
Hiv 1

This article studies the dynamical behavior of the analytical solutions of the system of fraction order model of HIV-1 infection. For this purpose, first, the proposed integer order model is converted into fractional order model. Then, Laplace-Adomian decomposition method (L-ADM) is applied to solve this fractional order HIV model. Moreover, the convergence of this method is also discussed. It can be observed from the numerical solution that (L-ADM) is very simple and accurate to solve fraction order HIV model.

scholarly journals Numerical, Approximate Solutions, and Optimal Control on the Deathly Lassa Hemorrhagic Fever Disease in Pregnant Women

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
M. Higazy ◽  
A. El-Mesady ◽  
A. M. S. Mahdy ◽  
Sami Ullah ◽  
A. Al-Ghamdi
Keyword(s):  
Optimal Control ◽  
Pregnant Women ◽  
Fractional Order ◽  
Adomian Decomposition Method ◽  
Hemorrhagic Fever ◽  
Approximate Solutions ◽  
Order Model ◽  
Fractional Order Model ◽  
Adomian Decomposition ◽  
Negative Impacts

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has negative impacts that were initially appeared in Africa. In the present study, we find an approximate solution to the fractional-order model that describes the fatal LHF disease. Laplace transforms coupled with the Adomian decomposition method (ADM) are applied. In addition, the fractional-order LHF model is numerically simulated in terms of a varied fractional order. Furthermore, a fractional order optimal control for the LHF model is studied.

scholarly journals Existence theory and numerical simulation of HIV-I cure model with new fractional derivative possessing a non-singular kernel

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Aliyu Isa Aliyu ◽  
Ali Saleh Alshomrani ◽  
Yongjin Li ◽  
Mustafa Inc ◽  
Dumitru Baleanu
Keyword(s):  
Numerical Simulations ◽  
Fractional Order ◽  
Numerical Technique ◽  
Research Work ◽  
Approximate Solutions ◽  
Existence Theory ◽  
Double Precision ◽  
Order Model ◽  
Invariant Region ◽  
Fractional Order Model

Abstract In this research work, a mathematical model related to HIV-I cure infection therapy consisting of three populations is investigated from the fractional calculus viewpoint. Fractional version of the model under consideration has been proposed. The proposed model is examined by using the Atangana–Baleanu fractional operator in the Caputo sense (ABC). The theory of Picard–Lindelöf has been employed to prove existence and uniqueness of the special solutions of the proposed fractional-order model. Further, it is also shown that the non-negative hyper-plane $\mathbb{R}_{+}^{3}$ R + 3 is a positively invariant region for the underlying model. Finally, to analyze the results, some numerical simulations are carried out via a numerical technique recently devised for finding approximate solutions of fractional-order dynamical systems. Upon comparison of the numerical simulations, it has been demonstrated that the proposed fractional-order model is more accurate than its classical version. All the necessary computations have been performed using MATLAB R2018a with double precision arithmetic.

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