An approach for the global stability of mathematical model of an infectious disease

M Masoumnezhad, M Rajabi, A Chapnevis, A Dorofeev… - Symmetry, 2020 - mdpi.com
The global stability analysis for the mathematical model of an infectious disease is
discussed here. The endemic equilibrium is shown to be globally stable by using a …

Optimal control for a SIR epidemic model with limited quarantine

R Balderrama, J Peressutti, JP Pinasco, F Vazquez… - Scientific Reports, 2022 - nature.com
Social distance, quarantines and total lock-downs are non-pharmaceutical interventions that
policymakers have used to mitigate the spread of the COVID-19 virus. However, these …

A comprehensive analysis of COVID-19 nonlinear mathematical model by incorporating the environment and social distancing

M Riaz, K Shah, T Abdeljawad, I Amacha, A Al-Jaser… - Scientific Reports, 2024 - nature.com
This research conducts a detailed analysis of a nonlinear mathematical model representing
COVID-19, incorporating both environmental factors and social distancing measures. It …

Optimal impulse vaccination approach for an SIR control model with short-term immunity

I Abouelkheir, F El Kihal, M Rachik, I Elmouki - Mathematics, 2019 - mdpi.com
Vaccines are not administered on a continuous basis, but injections are practically
introduced at discrete times often separated by an important number of time units, and this …

Optimal control: application and applicability in times of pandemics

I Elmouki, L Zhong, A Jraifi, A Darouichi - Integrated Science of Global …, 2023 - Springer
In times of pandemics, researchers hurry to find the best control policy to limit the spread of a
disease and its consequences on the health care and economic sectors. To reach a …

Isoperimetric Control Inequality: Application to the Management of Limited Resources in Times of Pandemics

I Elmouki, A Khaled, A Hamdache, L Zhong… - The Landscape of …, 2024 - Springer
According to numerous past epidemic outbreaks, a poorly controlled pandemic can have
catastrophic effects, killing millions of people in a matter of decades and having a significant …

A study on the effects of diffusion of information on epidemic spread

S Gündüç - International Journal of Modeling, Simulation, and …, 2019 - World Scientific
In this work, the spread of a contagious disease on a society where the individuals may take
precautions is modeled. The primary assumption is that the infected individuals transmit the …

What has gone around may come back around: reinfection in the extended stochastic multi-region control of infodemics and seasonal coronaviruses

F El Kihal, I Abouelkheir, I Elmouki - Commun. Math. Biol. Neurosci., 2023 - scik.org
In this paper, we study an optimal control approach against seasonal coronaviruses by
adding terms of reinfection to dynamics of the optimization constraint and which is mainly …

Multi-region optimal impulse control through example of immunization policy at large geographical scale with discussion of the closure case

I Abouelkheir, F El Kihal, I Elmouki - Commun. Math. Biol. Neurosci., 2024 - scik.org
Most epidemiological studies prefer to rely on differential systems because of their
mathematical tractability, however, in addition to the need to control modeling framework …

Mathematical models of early stage Covid-19 transmission in Sri Lanka: COVID-19 models in Sri Lanka

WPTM Wickramaarachchi, SSN Perera - Advances in Epidemiological …, 2023 - Elsevier
COVID-19 global pandemic has been significantly damaging the human well-being, life style
of people, and the global economy. At the beginning of the epidemic, there were no …