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 malaria disease with control strategy

SI Oke, MM Ojo, MO Adeniyi, MB Matadi - Commun. Math. Biol. Neurosci., 2020 - scik.org
This article suggested and analyzed the transmission dynamics of malaria disease in a
population using a nonlinear mathematical model. The deterministic compartmental model …

On the analysis of a multi-regions discrete SIR epidemic model: an optimal control approach

O Zakary, M Rachik, I Elmouki - International Journal of Dynamics and …, 2017 - Springer
In this paper, we devise a discrete time SIR model depicting the spread of infectious
diseases in various geographical regions that are connected by any kind of anthropological …

Effect of awareness programs and travel-blocking operations in the control of HIV/AIDS outbreaks: a multi-domains SIR model

O Zakary, A Larrache, M Rachik, I Elmouki - Advances in Difference …, 2016 - Springer
The main goal of this article is to exhibit the importance of awareness programs and travel-
blocking operations, in the prevention of HIV/AIDS outbreaks, based on a multi-domains SIR …

Optimal control of a malaria model with asymptomatic class and superinfection

L Cai, X Li, N Tuncer, M Martcheva, AA Lashari - Mathematical biosciences, 2017 - Elsevier
In this paper, we introduce a malaria model with an asymptomatic class in human population
and exposed classes in both human and vector populations. The model assumes that …

An optimal control model to understand the potential impact of the new vaccine and transmission-blocking drugs for malaria: A case study in papua and west papua …

BD Handari, RA Ramadhani, CW Chukwu… - Vaccines, 2022 - mdpi.com
Malaria is one of the major causes of a high death rate due to infectious diseases every
year. Despite attempts to eradicate the disease, results have not been very successful. New …

Human-vector malaria transmission model structured by age, time since infection and waning immunity

Q Richard, M Choisy, T Lefèvre… - Nonlinear Analysis: Real …, 2022 - Elsevier
Malaria is one of the most common mosquito-borne diseases widespread in tropical and
subtropical regions, causing thousands of deaths every year in the world. Few models …

A multi‐regional epidemic model for controlling the spread of Ebola: awareness, treatment, and travel‐blocking optimal control approaches

O Zakary, M Rachik, I Elmouki - Mathematical Methods in the …, 2017 - Wiley Online Library
Ebola virus disease (EVD) can rapidly cause death to animals and people, for less than
1month. In addition, EVD can emerge in one region and spread to its neighbors in …

Optimal bed net use for a dengue disease model with mosquito seasonal pattern

B Buonomo, R Della Marca - Mathematical Methods in the …, 2018 - Wiley Online Library
Controversial results concerning the effectiveness of bed net in reducing dengue fever
transmission make further research necessary in this direction. At this aim, we consider a …

Mathematics of an epidemiology-genetics model for assessing the role of insecticides resistance on malaria transmission dynamics

J Mohammed-Awel, AB Gumel - Mathematical Biosciences, 2019 - Elsevier
Although the widespread use of indoors residual spraying (IRS) and insecticides treated
bednets (ITNs; later replaced by long-lasting insecticidal nets (LLINs)) has led to a dramatic …