[PDF][PDF] Optimization of the fractional-order parameter with the error analysis for human immunodeficiency virus under Caputo operator

R Jan, S Qureshi, S Boulaaras, VT Pham… - Discrete Contin. Dyn …, 2023 - researchgate.net
Human immunodeficiency virus (HIV) infection is said to be a dangerous, extremely severe,
and potentially fatal disease. After weakening a person's immune system, it impedes the …

Mathematical modeling and stability analysis of the dynamics of monkeypox via fractional-calculus

R Alharbi, R Jan, S Alyobi, Y Altayeb, Z Khan - Fractals, 2022 - World Scientific
In this research work, we offer an epidemic model for monkeypox virus infection with the
help of non-integer derivative as well as classical ones. The model takes into account every …

The impact of media awareness on a fractional-order SEIR epidemic model with optimal treatment and vaccination

S Majee, S Barman, A Khatua, TK Kar… - The European Physical …, 2023 - Springer
During any pandemic, to decrease the spreading possibility of infectious diseases to people,
boosting public awareness is crucial. Media helps to boost this awareness. This paper aims …

Mathematical modelling of within-host Chikungunya virus dynamics with adaptive immune response

TO Alade, M Alnegga, S Olaniyi, A Abidemi - Modeling Earth Systems and …, 2023 - Springer
It is well known that mathematical biology and dynamical systems provide useful information
for the study of viral infection models such as HIV, HBV, HCV, Dengue and Chikungunya …

Fractional‐calculus analysis of the dynamics of typhoid fever with the effect of vaccination and carriers

R Jan, S Boulaaras, M Alnegga… - International Journal of …, 2024 - Wiley Online Library
Typhoid fever poses a severe hazard to public health and affects at least 27 million people
annually around the globe. It is significant to conceptualize the key factors of the …

Robustness and exploration between the interplay of the nonlinear co-dynamics HIV/AIDS and pneumonia model via fractional differential operators and a …

S Rashid, SZ Hamidi, MA Raza, R Shafique… - Scientific Reports, 2024 - nature.com
In this article, we considered a nonlinear compartmental mathematical model that assesses
the effect of treatment on the dynamics of HIV/AIDS and pneumonia (H/AP) co-infection in a …

On mathematical model of infectious disease by using fractals fractional analysis

K Shah, M Sarwar, T Abdeljawad - Discrete and Continuous …, 2024 - aimsciences.org
Here, we remarked that fractals or Housdarff derivatives are important tools to investigate
various problems. However, fractals when combined with fractional orders of different …

A dynamical optimal control theory and cost-effectiveness analyses of the HBV and HIV/AIDS co-infection model

SW Teklu, AH Workie - Frontiers in Public Health, 2024 - frontiersin.org
Studies have shown that the co-infection of Human Immunodeficiency Virus (HIV) and
Hepatitis B Virus (HBV) poses a major threat to the public health due to their combined …

Analyzing a Dynamical System with Harmonic Mean Incidence Rate Using Volterra–Lyapunov Matrices and Fractal-Fractional Operators

M Riaz, FA Alqarni, K Aldwoah, FMO Birkea… - Fractal and …, 2024 - mdpi.com
This paper investigates the dynamics of the SIR infectious disease model, with a specific
emphasis on utilizing a harmonic mean-type incidence rate. It thoroughly analyzes the …

Modeling the dynamics of chronic myelogenous leukemia through fractional-calculus

TQ Tang, R Jan, Z Ur Rehman, Z Shah, N Vrinceanu… - Fractals, 2022 - World Scientific
Although the therapy of chronic myelogenous leukemia (CML) has progressed because of
imatinib (IM) and other tyrosine kinase inhibitors (TKIs), the majority of patients still do not …