Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

Ullah, Mohammad Sharif; Higazy, M.; Kabir, K. M. Ariful

doi:10.1016/j.chaos.2021.111636

Cited by 30 publications

(10 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The International Health Regulations (IHR) include Article 25 of the Universal Declaration on Human Rights (UDHR), Article 28 and 64 of WHO Conventions, the 1374 Venice Convention for Quarantine for Plague (VCQP), the 1851 Paris Convention de First International Sanitary Conference, the 1947 Geneva WHO Epidemiological Information Service (WHO-EIS), the 1951 Geneva International Sanitary Regulations, and the 1969 Geneva International Health Regulations (GIHR) ( 26 – 30 ). The given regulations, conventions and treaties are placed under the scope and transparency of the WHO's pandemic declarations of a public health emergency of international concern (PHEIC) during the COVID-19 outbreaks worldwide ( 31 ).…”

Section: Methodsmentioning

confidence: 99%

Global law, policy, and governance for effective prevention and control of COVID-19: A comparative analysis of the law and policy of Pakistan, China, and Russia

Khaskheli

Wang

Hussain

et al. 2023

Front. Public Health

View full text Add to dashboard Cite

Global health governance is a developing system in this complex institutional regime. The local and regional health policies sometimes challenge global health governance due to diverse discourse in various countries. In the wake of COVID-19, global health governance was reaffirmed as indifferent modules to control and eliminate the pandemic; however, the global agencies later dissected their own opinion and said that “countries must learn to live with a pandemic.” Given the controversial statement, this research focuses on the strong and effective policies of the Russian Federation, Pakistan, and China. The research uses the law and governance results and newly developed policies of the three countries formed under the global health policies. The conclusion is based on the statement that in order to live with the pandemic, strong health measures are required at each level.

show abstract

Section: Methodsmentioning

confidence: 99%

Global law, policy, and governance for effective prevention and control of COVID-19: A comparative analysis of the law and policy of Pakistan, China, and Russia

Khaskheli

Wang

Hussain

et al. 2023

Front. Public Health

View full text Add to dashboard Cite

show abstract

“…• Creating improved treatment and preventative methods: Studying the epidemic model can help in developing improved treatment and prevention strategies, such as new therapeutics and vaccines [69,70]. This is especially important as the virus continues to evolve and new variants emerge.…”

Section: Mathematical Model Of Epidemicmentioning

confidence: 99%

Stability analysis of fractional epidemic model for two infected classes incorporating hospitalization impact

Santra,

Mahapatra,

Basu

2024

Phys. Scr.

View full text Add to dashboard Cite

This article presents an epidemic disease propagation mathematical model in fractional order. The epidemiological characteristics are presented based on the susceptible, exposed, unknown infected, known infected, hospitalized population and the population in the secure zone. Both the disease endemic equilibrium and the disease-free equilibrium's stability characteristics have been examined using the basic reproduction number. Variation of basic reproduction number based on the different sensitive parameters has been discussed. It has been disputed whether the fractional model provides a uniform, reliable solution. An analysis of the time history of unknown and known infected populations, hospitalized populations and recovered populations at different values of various sensitive parameters has been carried out. To support the key theoretical conclusions, some numerical simulations are completed using MATLAB. The impact of various populations on the propagation of the illness has also been investigated, as well as how specific state variables change over time for various fractional order values.

show abstract

“…In contrast, the fractional diffusion equation can describe these problems more accurately than integer-order diffusion equation, and it has great application value. In particular, for TFDE, it has been used to describe many models of practical applications, such as the electron transport in Xerox photocopier [ 28 ], Modeling the epidemic control measures in overcoming COVID-19 outbreaks [ 34 ], simulating the viscoelastic liquid [ 16 ], the dynamics of latent liquidity in financial markets [ 2 ], and so on.…”

Section: Introductionmentioning

confidence: 99%

An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data

Bi-yun

Xiao

2023

Numer Algor

View full text Add to dashboard Cite

In this paper, we focus on developing a high efficient algorithm for solving d -dimension time-fractional diffusion equation (TFDE). For TFDE, the initial function or source term is usually not smooth, which can lead to the low regularity of exact solution. And such low regularity has a marked impact on the convergence rate of numerical method. In order to improve the convergence rate of the algorithm, we introduce the space-time sparse grid (STSG) method to solve TFDE. In our study, we employ the sine basis and the linear element basis for spatial discretization and temporal discretization, respectively. The sine basis can be divided into several levels, and the linear element basis can lead to the hierarchical basis. Then, the STSG can be constructed through a special tensor product of the spatial multilevel basis and the temporal hierarchical basis. Under certain conditions, the function approximation on standard STSG can achieve the accuracy order with degrees of freedom (DOF) for and DOF for , where J denotes the maximal level of sine coefficients. However, if the solution changes very rapidly at the initial moment, the standard STSG method may reduce accuracy or even fail to converge. To overcome this, we integrate the full grid into the STSG, and obtain the modified STSG. Finally, we obtain the fully discrete scheme of STSG method for solving TFDE. The great advantage of the modified STSG method can be shown in the comparative numerical experiment.

show abstract

Modeling the epidemic control measures in overcoming COVID-19 outbreaks: A fractional-order derivative approach

Cited by 30 publications

References 46 publications

Global law, policy, and governance for effective prevention and control of COVID-19: A comparative analysis of the law and policy of Pakistan, China, and Russia

Global law, policy, and governance for effective prevention and control of COVID-19: A comparative analysis of the law and policy of Pakistan, China, and Russia

Stability analysis of fractional epidemic model for two infected classes incorporating hospitalization impact

An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data

Contact Info

Product

Resources

About