A general fractional formulation and tracking control for immunogenic tumor dynamics

A Jajarmi, D Baleanu… - … Methods in the …, 2022 - Wiley Online Library
Mathematical modeling of biological systems is an important issue having significant effect
on human beings. In this direction, the description of immune systems is an attractive topic …

The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

B Maayah, A Moussaoui, S Bushnaq… - Demonstratio …, 2022 - degruyter.com
COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently,
researchers have been concentrating their efforts on understanding the complex dynamics …

A fractional-order model for COVID-19 and tuberculosis co-infection using Atangana–Baleanu derivative

A Omame, M Abbas, CP Onyenegecha - Chaos, Solitons & Fractals, 2021 - Elsevier
This paper considers and analyzes a fractional order model for COVID-19 and tuberculosis
co-infection, using the Atangana–Baleanu derivative. The existence and uniqueness of the …

[HTML][HTML] Backward bifurcation and optimal control in a co-infection model for SARS-CoV-2 and ZIKV

A Omame, M Abbas, CP Onyenegecha - Results in physics, 2022 - Elsevier
In co-infection models for two diseases, it is mostly claimed that, the dynamical behavior of
the sub-models usually predict or drive the behavior of the complete models. However …

Assessing the impact of SARS-CoV-2 infection on the dynamics of dengue and HIV via fractional derivatives

A Omame, M Abbas, AH Abdel-Aty - Chaos, Solitons & Fractals, 2022 - Elsevier
A new non-integer order mathematical model for SARS-CoV-2, Dengue and HIV co-
dynamics is designed and studied. The impact of SARS-CoV-2 infection on the dynamics of …

[HTML][HTML] Modeling and analysis of monkeypox disease using fractional derivatives

S Okyere, J Ackora-Prah - Results in engineering, 2023 - Elsevier
The frequency of monkeypox outbreaks and the extent of the projected outbreaks in human
populations have both steadily increased. This paper proposes Atangana-Baleanu fractional …

The weakly non-linear waves propagation for Kelvin–Helmholtz instability in the magnetohydrodynamics flow impelled by fractional theory

WA Faridi, MI Asjad, A Jhangeer, A Yusuf… - Optical and Quantum …, 2023 - Springer
The weakly nonlinear wave propagation that occurs in the presence of magnetic fields, in
which energy is concentrated in a narrow band of wave-numbers in a dispersive and …

[HTML][HTML] A fractional order control model for Diabetes and COVID-19 co-dynamics with Mittag-Leffler function

A Omame, UK Nwajeri, M Abbas… - Alexandria Engineering …, 2022 - Elsevier
The aim of this paper is to present and analyze the fractional optimal control model for
COVID-19 and diabetes co-dynamics, using the Atangana-Baleanu derivative. The positivity …

Implementation and acceleration of optimal control for systems biology

JA Sharp, K Burrage… - Journal of the Royal …, 2021 - royalsocietypublishing.org
Optimal control theory provides insight into complex resource allocation decisions. The
forward–backward sweep method (FBSM) is an iterative technique commonly implemented …

Predicting the Infection Level of COVID-19 Virus Using Normal Distribution-Based Approximation Model and PSO

S Wazir, GS Kashyap, K Malik, AEI Brownlee - … Modeling and Intelligent …, 2023 - Springer
The infectious disease brought on by COVID-19 is the pandemic that has put the lives and
economy of the entire planet in jeopardy. The only alternatives available before the creation …