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

Chu, Yu-Ming; Zarin, Rahat; Khan, Asad; Murtaza, Saqib

doi:10.1016/j.aej.2023.03.037

Cited by 13 publications

(2 citation statements)

References 62 publications

(51 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, the level of sensitivity analysis of the stated model was taken into account in their work. The investigation of the transmission kinetics of SARS-CoV-2 was explored in [21] using the Atangana-Baleanu fractional-order operator. This study also provided additional simulations that illustrated the significance and necessity of various factors, as well as their impact on the dynamics and management of the disease.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

Xu,

Farman

2023

Fractal Fract

View full text Add to dashboard Cite

The Ebola virus continues to be the world’s biggest cause of mortality, especially in developing countries, despite the availability of safe and effective immunization. In this paper, we construct a fractional-order Ebola virus model to check the dynamical transmission of the disease as it is impacted by immunization, learning, prompt identification, sanitation regulations, isolation, and mobility limitations with a constant proportional Caputo (CPC) operator. The existence and uniqueness of the proposed model’s solutions are discussed using the results of fixed-point theory. The stability results for the fractional model are presented using Ulam–Hyers stability principles. This paper assesses the hybrid fractional operator by applying methods to invert proportional Caputo operators, calculate CPC eigenfunctions, and simulate fractional differential equations computationally. The Laplace–Adomian decomposition method is used to simulate a set of fractional differential equations. A sustainable and unique approach is applied to build numerical and analytic solutions to the model that closely satisfy the theoretical approach to the problem. The tools in this model appear to be fairly powerful, capable of generating the theoretical conditions predicted by the Ebola virus model. The analysis-based research given here will aid future analysis and the development of a control strategy to counteract the impact of the Ebola virus in a community.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

Xu,

Farman

2023

Fractal Fract

View full text Add to dashboard Cite

show abstract

“…Results showed that the non-integer model's generalized kernel captured the real-world cases more accurately than integer-order models. According to Chu et al [23], a fractional-order model of SARS-CoV-2 variants was investigated. In [24] , the authors also investigated a hepatitis B virus model using fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Co-Dynamics of COVID-19 and Viral Hepatitis B Using a Mathematical Model of Non-Integer Order: Impact of Vaccination

et al. 2023

View full text Add to dashboard Cite

The modeling of biological processes has increasingly been based on fractional calculus. In this paper, a novel fractional-order model is used to investigate the epidemiological impact of vaccination measures on the co-dynamics of viral hepatitis B and COVID-19. To investigate the existence and stability of the new model, we use some fixed point theory results. The COVID-19 and viral hepatitis B thresholds are estimated using the model fitting. The vaccine parameters are plotted against transmission coefficients. The effect of non-integer derivatives on the solution paths for each epidemiological state and the trajectory diagram for infected classes are also examined numerically. An infection-free steady state and an infection-present equilibrium are achieved when R0<1 and R0>1, respectively. Similarly, phase portraits confirm the behaviour of the infected components, showing that, regardless of the order of the fractional derivative, the trajectories of the disease classes always converge toward infection-free steady states over time, no matter what initial conditions are assumed for the diseases. The model has been verified using real observations.

show abstract

A generalized fractional hepatitis B virus infection model with both cell-to-cell and virus-to-cell transmissions

Yaagoub,

Sadki,

Allali

2024

Nonlinear Dyn

View full text Add to dashboard Cite

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

Cited by 13 publications

References 62 publications

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

Co-Dynamics of COVID-19 and Viral Hepatitis B Using a Mathematical Model of Non-Integer Order: Impact of Vaccination

A generalized fractional hepatitis B virus infection model with both cell-to-cell and virus-to-cell transmissions

Contact Info

Product

Resources

About