Optimal control in epidemiology

O Sharomi, T Malik - Annals of Operations Research, 2017 - Springer
Mathematical modelling of infectious diseases has shown that combinations of isolation,
quarantine, vaccine and treatment are often necessary in order to eliminate most infectious …

Mathematical modeling of hepatitis c virus (HCV) prevention among people who inject drugs: A review of the literature and insights for elimination strategies

AB Pitcher, A Borquez, B Skaathun… - Journal of theoretical …, 2019 - Elsevier
Abstract In 2016, the World Health Organization issued global elimination targets for
hepatitis C virus (HCV), including an 80% reduction in HCV incidence by 2030. The vast …

[HTML][HTML] Mathematical study of lumpy skin disease with optimal control analysis through vaccination

AIK Butt, H Aftab, M Imran, T Ismaeel - Alexandria Engineering Journal, 2023 - Elsevier
In this study, we develop a new mathematical model with vaccination to properly
comprehend dynamics of the Lumpy Skin Disease (LSD) ailment. We analyze the model for …

Optimal vaccination strategy of a constrained time-varying SEIR epidemic model

X Wang, H Peng, B Shi, D Jiang, S Zhang… - … in Nonlinear Science and …, 2019 - Elsevier
The optimal control strategy for time-varying epidemic models remains a wide open
research area. In this paper, the optimal vaccination strategy for a constrained time-varying …

Optimal control strategies for the reliable and competitive mathematical analysis of Covid‐19 pandemic model

AIK Butt, M Imran, DBD Chamaleen… - … Methods in the Applied …, 2023 - Wiley Online Library
To understand dynamics of the COVID‐19 disease realistically, a new SEIAPHR model has
been proposed in this article where the infectious individuals have been categorized as …

Optimal control analysis of Ebola disease with control strategies of quarantine and vaccination

MD Ahmad, M Usman, A Khan, M Imran - Infectious diseases of poverty, 2016 - Springer
Abstract Background The 2014 Ebola epidemic is the largest in history, affecting multiple
countries in West Africa. Some isolated cases were also observed in other regions of the …

On the global stability of an epidemic model of computer viruses

MR Parsaei, R Javidan, N Shayegh Kargar… - Theory in …, 2017 - Springer
In this paper, we study the global properties of a computer virus propagation model. It is,
interesting to note that the classical method of Lyapunov functions combined with the …

A new design and analysis of optimal control problems arising from COVID‐19 outbreak

AIK Butt, DBD Chamaleen, M Imran… - … Methods in the …, 2023 - Wiley Online Library
In this manuscript, we append the hospitalization, diagnosed and isolation compartments to
the classic SEIR model to design a new COVID‐19 epidemic model. We further subdivide …

ANFIS-based optimal control of hepatitis C virus epidemic

J Khodaei-Mehr, S Tangestanizadeh, R Vatankhah… - IFAC-PapersOnLine, 2018 - Elsevier
Hepatitis C is a liver disease caused by hepatitis C virus. Prevalence of the disease among
people and spread of it in the society is becoming an important concern in epidemiology. In …

Estimating the impact of expanding treatment coverage and allocation strategies for chronic hepatitis C in a direct antiviral agent era

K Poovorawan, W Pan-Ngum, LJ White… - PLoS …, 2016 - journals.plos.org
Hepatitis C virus (HCV) infection is an important worldwide public health problem, and most
of the global HCV burden is in low-to middle-income countries. This study aimed to estimate …