A model for SARS‐CoV‐2 infection with treatment

AN Chatterjee, F Al Basir - Computational and mathematical …, 2020 - Wiley Online Library
The current emergence of coronavirus (SARS‐CoV‐2) puts the world in threat. The structural
research on the receptor recognition by SARS‐CoV‐2 has identified the key interactions …

Global dynamics of delay‐distributed HIV infection models with differential drug efficacy in cocirculating target cells

AM Elaiw, NA Almuallem - Mathematical Methods in the …, 2016 - Wiley Online Library
In this paper, we investigate the dynamical behaviors of three human immunodeficiency
virus infection models with two types of cocirculating target cells and distributed intracellular …

Stability of general virus dynamics models with both cellular and viral infections and delays

AM Elaiw, AA Raezah - Mathematical Methods in the Applied …, 2017 - Wiley Online Library
We consider general virus dynamics model with virus‐to‐target and infected‐to‐target
infections. The model is incorporated by intracellular discrete or distributed time delays. We …

Stability of an adaptive immunity pathogen dynamics model with latency and multiple delays

AM Elaiw, NH AlShamrani - Mathematical Methods in the …, 2018 - Wiley Online Library
We incorporate three distributed time delays into the model of pathogen dynamics with
antibody and Cytotoxic T Lymphocyte (CTL) immune responses. We consider both actively …

Stability of a general delay‐distributed virus dynamics model with multi‐staged infected progression and immune response

AM Elaiw, NH AlShamrani - Mathematical Methods in the …, 2017 - Wiley Online Library
In this paper, we formulate a (n+ 3)‐dimensional nonlinear virus dynamics model that
considers n‐stages of the infected cells and n+ 1 distributed time delays. The model …

Implementation of suitable optimal control strategy through introspection of different delay induced mathematical models for leprosy: A comparative study

S Ghosh, AK Roy, PK Roy - Optimal Control Applications and …, 2024 - Wiley Online Library
Involving intracellular delay into a mathematical model and investigating the delayed
systems by incorporating optimal control is of great importance to study the cell‐to‐cell …

Effect of cellular reservoirs and delays on the global dynamics of HIV

AM Elaiw, EK Elnahary, AA Raezah - Advances in Difference Equations, 2018 - Springer
We investigate general HIV infection models with three types of infected cells: latently
infected cells, long-lived productively infected cells, and short-lived productively infected …

Nonlinear dynamics of the patient's response to drug effect during general anesthesia

C Ionescu, JT Machado, R De Keyser… - … in nonlinear science …, 2015 - Elsevier
In today's healthcare paradigm, optimal sedation during anesthesia plays an important role
both in patient welfare and in the socio-economic context. For the closed-loop control of …

Analysis of stability and Hopf bifurcation for HIV-1 dynamics with PI and three intracellular delays

C Monica, M Pitchaimani - Nonlinear Analysis: Real World Applications, 2016 - Elsevier
Mathematical model for the effects of protease inhibitor on the dynamics of HIV-1 infection
model with three delays is proposed and analyzed. Some analytical results on the global …

Effect of awareness programs in controlling the disease HIV/AIDS: an optimal control theoretic approach

PK Roy, S Saha, FA Basir - Advances in Difference Equations, 2015 - Springer
Research reveals that most HIV infections come from undiagnosed people and untreated
people, but principally from unaware people. Human awareness results in the reduction of …