Numerical study of a nonlinear COVID-19 pandemic model by finite difference and meshless methods

Zarin, Rahat

doi:10.1016/j.padiff.2022.100460

Cited by 11 publications

(2 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Recently, it has been argued that the theory of fractional calculus has a wide range of applications and that modeling identical issues using fractional systems yielded more accurate results than modeling them with the ordinary derivatives approach [55] , [56] , [57] , [58] , [59] , [60] , [61] . As a result, we will adapt model (7) to the new framework by using the generalized Mittag-Leffler kernel and fractional derivative:

Under the starting approximation

0000000

…”

Section: Mathematical Modelmentioning

confidence: 99%

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

Chu¹,

Zarin²,

Khan³

et al. 2023

Alexandria Engineering Journal

Self Cite

View full text Add to dashboard Cite

Under the starting approximation

0000000

…”

Section: Mathematical Modelmentioning

confidence: 99%

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

Chu¹,

Zarin²,

Khan³

et al. 2023

Alexandria Engineering Journal

Self Cite

View full text Add to dashboard Cite

“…The implementation of mathematical models is a valuable tool that has been utilized successfully to present different aspects of infectious diseases. Usually, these models include classical (ordinary and partial) derivatives [11][12][13], stochastic derivatives [14,15] and fractional derivatives [16,17]. In particular, to better explore the dynamic aspects of COVID-19, several epidemic models have been developed [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Assessing the Impact of Time-Varying Optimal Vaccination and Non-Pharmaceutical Interventions on the Dynamics and Control of COVID-19: A Computational Epidemic Modeling Approach

Li,

Samreen,

Zada

et al. 2023

Mathematics

View full text Add to dashboard Cite

Vaccination strategies remain one of the most effective and feasible preventive measures in combating infectious diseases, particularly during the COVID-19 pandemic. With the passage of time, continuous long-term lockdowns became impractical, and the effectiveness of contact-tracing procedures significantly declined as the number of cases increased. This paper presents a mathematical assessment of the dynamics and prevention of COVID-19, taking into account the constant and time-varying optimal COVID-19 vaccine with multiple doses. We attempt to develop a mathematical model by incorporating compartments with individuals receiving primary, secondary, and booster shots of the COVID-19 vaccine in a basic epidemic model. Initially, the model is rigorously studied in terms of qualitative analysis. The stability analysis and mathematical results are presented to demonstrate that the model is asymptotically stable both locally and globally at the COVID-19-free equilibrium state. We also investigate the impact of multiple vaccinations on the COVID-19 model’s results, revealing that the infection risk can be reduced by administrating the booster vaccine dose to those individuals who already received their first vaccine doses. The existence of backward bifurcation phenomena is studied. A sensitivity analysis is carried out to determine the most sensitive parameter on the disease incidence. Furthermore, we developed a control model by introducing time-varying controls to suggest the optimal strategy for disease minimization. These controls are isolation, multiple vaccine efficacy, and reduction in the probability that different vaccine doses do not develop antibodies against the original virus. The existence and numerical solution to the COVID-19 control problem are presented. A detailed simulation is illustrated demonstrating the population-level impact of the constant and time-varying optimal controls on disease eradication. Using the novel concept of human awareness and several vaccination doses, the elimination of COVID-19 infections could be significantly enhanced.

show abstract

Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions

Asadi-Mehregan,

Assari,

Dehghan

2024

Engineering with Computers

View full text Add to dashboard Cite

Numerical study of a nonlinear COVID-19 pandemic model by finite difference and meshless methods

Cited by 11 publications

References 34 publications

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

Assessing the Impact of Time-Varying Optimal Vaccination and Non-Pharmaceutical Interventions on the Dynamics and Control of COVID-19: A Computational Epidemic Modeling Approach

Numerical simulation of spatio-temporal spread of an infectious disease utilizing a collocation method based on local radial basis functions

Contact Info

Product

Resources

About