System Analysis of HIV Infection Model with CD4+T under Non-Singular Kernel Derivative

被引：35

作者：

Evirgen, Firat ^{[1
]}

Ucar, Sumeyra ^{[1
]}

Ozdemir, Necati ^{[1
]}

机构：

[1] Balikesir Univ, Dept Math, Balikesir, Turkey

来源：

APPLIED MATHEMATICS AND NONLINEAR SCIENCES | 2020年 / 5卷 / 01期

关键词：

Atangana-Baleanu (AB) derivative; HIV infection model; Arzela-Ascoli theorem; existence and uniqueness; SIMULATION;

D O I：

10.2478/AMNS.2020.1.00013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of CD4(+)T cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.

引用

页码：139 / 146

页数：8

共 28 条

[1] A new nonlinear triadic model of predator-prey based on derivative with non-local and non-singular kernel [J].

Alkahtani, Badr Saad T. ;

Atangana, Abdon ;

Koca, Ilknur .

ADVANCES IN MECHANICAL ENGINEERING, 2016, 8 (11) :1-9

[2] On the new fractional derivative and application to nonlinear Baggs and Freedman model [J].

Atangana, Abdon ;

Koca, Ilknur .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05) :2467-2480

[3] NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].

Atangana, Abdon ;

Baleanu, Dumitru .

THERMAL SCIENCE, 2016, 20 (02) :763-769

[4] Solving a system of fractional partial differential equations arising in the model of HIV infection of CD4+ cells and attractor one-dimensional Keller-Segel equations [J].

Atangana, Abdon ;

Alabaraoye, Ernestine .

ADVANCES IN DIFFERENCE EQUATIONS, 2013,

[5]

Baleanu D., 2012, FRACTIONAL CALCULUS, DOI [10.1142/8180, DOI 10.1142/10044, 10.1142/10044]

[6] Stability analysis and optimal control of a fractional human African trypanosomiasis model [J].

Bonyah, Ebenezer ;

Gomez-Aguilar, J. F. ;

Adu, Augustina .

CHAOS SOLITONS & FRACTALS, 2018, 117 :150-160

[7] HIV/HCV coinfection model: a fractional-order perspective for the effect of the HIV viral load [J].

Carvalho, Ana R. M. ;

Pinto, Carla M. A. ;

Baleanu, Dumitru .

ADVANCES IN DIFFERENCE EQUATIONS, 2018,

[8]

Evirgen F., 2016, International Journal of Optimization, Control, Theories and Applications, V6, P75

[9] Multistage Adomian Decomposition Method for Solving NLP Problems Over a Nonlinear Fractional Dynamical System [J].

Evirgen, Firat ;

Ozdemir, Necati .

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2011, 6 (02)

[10] Circuit design and simulation for the fractional-order chaotic behavior in a new dynamical system [J].

Hammouch, Z. ;

Mekkaoui, T. .

COMPLEX & INTELLIGENT SYSTEMS, 2018, 4 (04) :251-260

← 1 2 3 →