[HTML][HTML] A review on epidemic models in sight of fractional calculus

KS Nisar, M Farman, M Abdel-Aty, J Cao - Alexandria Engineering Journal, 2023 - Elsevier
Biomathematics has become one of the most significant areas of research as a result of
interdisciplinary study. Chronic diseases sometimes referred to as non-communicable and …

Explaining the Routh–Hurwitz criterion: A tutorial presentation [focus on education]

M Bodson - IEEE Control Systems Magazine, 2020 - ieeexplore.ieee.org
Routh's treatise [1] was a landmark in the analysis of the stability of dynamic systems and
became a core foundation of control theory. The remarkable simplicity of the result was in …

Bessel-quasilinearization technique to solve the fractional-order HIV-1 infection of CD4+ T-cells considering the impact of antiviral drug treatment

Ş Yüzbaşı, M Izadi - Applied Mathematics and Computation, 2022 - Elsevier
In this paper, two numerical methods based on the novel Bessel polynomials are developed
to solve the fractional-order HIV-1 infection model of CD 4+ T-cells considering the impact of …

[PDF][PDF] A fractional-order model of HIV infection with drug therapy effect

SZ Rida, M Khalil, AAM Arafa - Journal of the Egyptian …, 2014 - joems.journals.ekb.eg
A fractional-order model of HIV infection with drug therapy effect Page 1 A fractional-order model
of HIV infection with drug therapy effect AAM Arafa a, *, SZ Rida b , M. Khalil c a Department of …

Chronic hepatitis B infection and HBV DNA-containing capsids: Modeling and analysis

K Manna, SP Chakrabarty - … in Nonlinear Science and Numerical Simulation, 2015 - Elsevier
We analyze the dynamics of chronic HBV infection taking into account both uninfected and
infected hepatocytes along with the intracellular HBV DNA-containing capsids and the …

Global dynamics of an age-structured model for HIV viral dynamics with latently infected T cells

M Kumar, S Abbas - Mathematics and Computers in Simulation, 2022 - Elsevier
This study focuses on an age-structured population model which describes the in host
dynamics of HIV/AIDS. This model also considers the proportion of latently infected CD4+ T …

[HTML][HTML] Effect of an antiviral drug control and its variable order fractional network in host COVID-19 kinetics

B Wang, J Mondal, P Samui, AN Chatterjee… - The European Physical …, 2022 - Springer
In December 2019, a novel coronavirus disease (COVID-19) appeared in Wuhan, China.
After that, it spread rapidly all over the world. Novel coronavirus belongs to the family of …

Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection

P Dubey, US Dubey, B Dubey - Mathematics and Computers in Simulation, 2018 - Elsevier
This paper deals with the study of a virus dynamics model in order to get better insights into
HIV infection within the body. The model incorporates therapeutic modalities such as …

A fractional-order model of HIV infection: numerical solution and comparisons with data of patients

AAM Arafa, SZ Rida, M Khalil - International Journal of …, 2014 - World Scientific
In this paper, a fractional-order model which describes the human immunodeficiency type-1
virus (HIV-1) infection is presented. Numerical solutions are obtained using a generalized …

Spectral solutions of fractional differential equations modelling combined drug therapy for HIV infection

S Thirumalai, R Seshadri, S Yuzbasi - Chaos, Solitons & Fractals, 2021 - Elsevier
In this paper, a combined drug treatment for the Human Immunodeficiency Virus (HIV)
infection is studied using fractional order differential equations. The fractional order model is …