Optimal Control Strategy of a Mathematical Model for the Fifth Wave of COVID-19 Outbreak (Omicron) in Thailand DOI Creative Commons

Jiraporn Lamwong,

Napasool Wongvanich,

I‐Ming Tang

et al.

Mathematics, Journal Year: 2023, Volume and Issue: 12(1), P. 14 - 14

Published: Dec. 20, 2023

The world has been fighting against the COVID-19 Coronavirus which seems to be constantly mutating. present wave of illness is caused by Omicron variant coronavirus. vaccines five variants (α, β, γ, δ, and ω) have quickly developed using mRNA technology. efficacy vaccine for one strains not same as other strains. In this study, a mathematical model spread was made considering asymptomatic population, symptomatic two infected populations quarantined population. An analysis basic reproduction numbers next-generation matrix method. Global asymptotic stability Lyapunov theory measure stability, showing an equilibrium point’s examining with fact in Thailand. Moreover, sensitivity values verify parameters affecting spread. It found that most common parameter initial number Optimal control problems social distancing strategies conjunction mask-wearing vaccination were determined find give better disease. Lagrangian Hamiltonian functions employed determine objective function. Pontryagin’s maximum principle existence optimal control. According use able achieve rather than controlling just or another.

Language: Английский

Socio-demographic and health factors drive the epidemic progression and should guide vaccination strategies for best COVID-19 containment DOI Creative Commons
Rene Markovič,

Marko Šterk,

Marko Marhl

et al.

Results in Physics, Journal Year: 2021, Volume and Issue: 26, P. 104433 - 104433

Published: June 9, 2021

We propose and study an epidemiological model on a social network that takes into account heterogeneity of the population different vaccination strategies. In particular, we how COVID-19 epidemics evolves it is contained by scenarios taking data showing older people, as well individuals with comorbidities poor metabolic health, people coming from economically depressed areas lower quality life in general, are more likely to develop severe symptoms, quicker loss immunity therefore prone reinfection. Our results reveal structure spatial arrangement subpopulations important determinants. healthier society disease spreads rapidly but consequences less disastrous prevalent chronic comorbidities. If health segregated within one community, epidemic outcome favorable. Moreover, show that, contrary currently widely adopted policies, prioritizing elderly other higher-risk groups beneficial only if supply vaccine high. If, however, availability limited, demographic distribution across homogeneous, better outcomes achieved healthy vaccinated first. Only when segregated, like homes, their prioritization will lead related deaths. Accordingly, young should view uptake not protecting them, perhaps even so vulnerable socio-demographic groups.

Language: Английский

Citations

75
Optimal control analysis of COVID-19 vaccine epidemic model: a case study DOI Open Access
Arshad Alam Khan, Saif Ullah, Rohul Amin

et al.

The European Physical Journal Plus, Journal Year: 2022, Volume and Issue: 137(1)

Published: Jan. 1, 2022

Language: Английский

Citations

45
A constrained optimisation framework for parameter identification of the SIRD model DOI Creative Commons
Andrés Miniguano–Trujillo, John W. Pearson, Benjamin D. Goddard

et al.

Mathematical Biosciences, Journal Year: 2025, Volume and Issue: unknown, P. 109379 - 109379

Published: Jan. 1, 2025

Language: Английский

Citations

1
The analysis of a novel COVID-19 model with the fractional-order incorporating the impact of the vaccination campaign in Nigeria via the Laplace-Adomian Decomposition Method DOI Creative Commons
Akeem Olarewaju Yunus, Morufu Oyedunsi Olayiwola

Journal of the Nigerian Society of Physical Sciences, Journal Year: 2024, Volume and Issue: unknown, P. 1830 - 1830

Published: March 27, 2024

This study underscores the crucial role of COVID-19 vaccinations in managing pandemic, with a specific focus on Nigeria. Employing fractional-order mathematical modeling approach, research assesses vaccination efficacy, minimum effectiveness, and duration. The model’s numerical solution is derived through Laplace Adomian Decomposition Method (LADM), utilizing rapidly converging infinite series. Simulation results illustrate impact transmission rates. concludes that implementing strategy an integer order proves to be most effective approach controlling spread COVID-19. These findings have significant implications for researchers, policymakers, healthcare workers. They emphasize central fractional calculus facilitating vaccine implementation ongoing battle against calls global efforts maximize overall benefit public health.

Language: Английский

Citations

7
Optimal control analysis of a COVID-19 model DOI Creative Commons
Zenebe Shiferaw Kifle, Legesse Lemecha Obsu

Applied Mathematics in Science and Engineering, Journal Year: 2023, Volume and Issue: 31(1)

Published: Feb. 7, 2023

In this paper, an optimal control model for the transmission dynamics of COVID-19 is investigated. We established important properties like nonnegativity and boundedness solutions, also region invariance. Further, expression basic reproduction number computed its sensitivity w.r.t parameters carried out to identify most sensitive parameter. Based on analysis, strategies were presented reduce disease burden related costs. It demonstrated that does exist unique. The characterization trajectories analytically studied via Pontryagin's Minimum Principle. Moreover, various simulations performed support analytical results. simulation results showed proposed controls significantly influence compared absence cases. it reveals applied are effective throughout intervention period in reducing diseases community. Besides, suggested concurrently applying all controlling outperform mitigating spread any other preventive measures.

Language: Английский

Citations

15
Modeling Transmission Patterns and Optimal Control through Nanotechnology: A Case Study of Malaria Causing Brain Disabilities DOI Creative Commons

Kamel Guedri,

Yasir Ramzan, Aziz Ullah Awan

et al.

Deleted Journal, Journal Year: 2024, Volume and Issue: 3(1)

Published: Jan. 6, 2024

This study introduces a novel approach to comprehensively understand and combat malaria transmission. A mathematical model is developed validated using real-world data. It delves into various facets of transmission dynamics, including the malaria-free equilibrium, stability, parameter estimation, basic reproduction number. Sensitivity analysis uncovers key factors, three-dimensional plots aid in visualizing impacts on The vital link between severe brain disorders explored through comprehensive review existing literature case studies, emphasizing critical necessity for effective disease management. To address this issue, control strategies like awareness initiatives, application advanced nanotechnology precise diagnosis treatment, mosquito population regulation are devised analyzed graphically, offering insights developing eradication policies.

Language: Английский

Citations

5
Investigating the trade-off between self-quarantine and forced quarantine provisions to control an epidemic: An evolutionary approach DOI Creative Commons
Md. Mamun-Ur-Rashid Khan, Md. Rajib Arefin, Jun Tanimoto

et al.

Applied Mathematics and Computation, Journal Year: 2022, Volume and Issue: 432, P. 127365 - 127365

Published: July 6, 2022

Language: Английский

Citations

19
FRACTIONAL-ORDER MODEL OF THE DRUG USER TRANSMISSION DOI Creative Commons

Indah Nurun Izzati,

Fatmawati Fatmawati, Cicik Alfiniyah

et al.

BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN, Journal Year: 2025, Volume and Issue: 19(1), P. 511 - 524

Published: Jan. 13, 2025

Drug abuse poses significant challenges to public health and socio-economic stability worldwide. Narcotics, which are psychotropic compounds, typically used for treating specific medical conditions. Currently, many individuals drugs outside of the function treatment. This misuse leads central nervous system disorders, resulting in mental behavioral issues. In this article, we discuss a fractional-order mathematical model transmission drug users with α∈ (0,1]. We employ differential equations using Caputo derivative approach dynamics. analyze local drug-free endemic equilibrium points calculate basic reproduction number (). Our analysis indicates that is locally asymptotically stable when , while . implement numerical scheme simulate model, illustrating theoretical findings.

Language: Английский

Citations

0
Optimal control of a COVID-19 dynamics based on SEIQR model DOI Creative Commons

Zhong-Ning Li,

Yiqing Tang, Wang Zong

et al.

Advances in Continuous and Discrete Models, Journal Year: 2025, Volume and Issue: 2025(1)

Published: Feb. 14, 2025

Language: Английский

Citations

0
Construction and numerical analysis of a fuzzy non-standard computational method for the solution of an SEIQR model of COVID-19 dynamics DOI Creative Commons
Fazal Dayan, Nauman Ahmed, Muhammad Rafiq

et al.

AIMS Mathematics, Journal Year: 2022, Volume and Issue: 7(5), P. 8449 - 8470

Published: Jan. 1, 2022

<abstract> <p>This current work presents an SEIQR model with fuzzy parameters. The use of theory helps us to solve the problems quantifying uncertainty in mathematical modeling diseases. reproduction number and equilibrium points have been derived focusing on a specific group people having triangular membership function. Moreover, non-standard finite difference (FNSFD) method for is developed. stability proposed discussed sense. A numerical verification presented. developed FNSFD scheme reliable preserves all essential features continuous dynamical system.</p> </abstract>

Language: Английский

Citations

14