Analytical study of transmission dynamics of 2019-nCoV pandemic via fractal fractional operator

Almalahi, Mohammed A.; Panchal, Satish K.; Shatanawi, Wasfı; Abdo, Mohammed S.; Shah, Kamal; Abodayeh, Kamaleldin

doi:10.1016/j.rinp.2021.104045

Cited by 27 publications

(16 citation statements)

References 38 publications

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“…Similarly, the increase in infections is also rapid, but in a smaller order [ 37 ]. Almalahi et al used fractal-ABC type fractional differential equations by incorporating population self-protection behavior changes to study the dynamics of 2019-nCoV transmission [ 38 ], and investigated sufficient conditions of existence and uniqueness of positive solutions for a finite system of ψ -Hilfer fractional differential equations [ 39 ]. Jeelani et al investigated a fractional-order mathematical model of COVID-19 [ 40 ].…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis and optimal control of the developed information transmission model

Kang

Hou

et al. 2022

PLoS ONE

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Information transmission significantly impacts social stability and technological advancement. This paper compares the phenomenon of “Super transmission” and “Asymptomatic infection” in COVID-19 transmission to information transmission. The former is similar to authoritative information transmission individuals, whereas the latter is similar to individuals with low acceptance in information transmission. It then constructs an S2EIR model with transmitter authority and individual acceptance levels. Then, it analyzes the asymptotic stability of information-free and information-existence equilibrium on a local and global scale, as well as the model’s basic reproduction number, R0. Distinguished with traditional studies, the population density function and Hamiltonian function are constructed by taking proportion of “Super transmitter” and proportion of hesitant group turning into transmitters as optimization control variables. Based on the Pontryagin maximum principle, an optimal control strategy is designed to effectively facilitate information transmission. The numerical simulation corroborates the theoretical analysis results and the system’s sensitivity to control parameter changes. The research results indicate that the authoritative “Super transmitter” has a beneficial effect on information transmission. In contrast, the “Asymptomatic infected individual” with poor individual acceptance level negatively affects information transmission.

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Section: Introductionmentioning

confidence: 99%

Dynamical analysis and optimal control of the developed information transmission model

Kang

Hou

et al. 2022

PLoS ONE

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“…Abdo et al [15] developed a classical COVID-19 model to fractional order model using Mittag-Leffler kernel; they investigated the existence, Ulam stability analysis, and simulation results. Many modelings of different real-world problems under different kinds of fractional derivatives can be found in [16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling and Forecasting of COVID-19 in Saudi Arabia under Fractal-Fractional Derivative in Caputo Sense with Power-Law

Jeelani

Alnahdi

Abdo

et al. 2021

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This manuscript is devoted to investigating a fractional-order mathematical model of COVID-19. The corresponding derivative is taken in Caputo sense with power-law of fractional order μ and fractal dimension χ. We give some detailed analysis on the existence and uniqueness of the solution to the proposed problem. Furthermore, some results regarding basic reproduction number and stability are given. For the proposed theoretical analysis, we use fixed point theory while for numerical analysis fractional Adams–Bashforth iterative techniques are utilized. Using our numerical scheme is verified by using some real values of the parameters to plot the approximate solution to the considered model. Graphical presentations corresponding to different values of fractional order and fractal dimensions are given. Moreover, we provide some information regarding the real data of Saudi Arabia from 1 March 2020 till 22 April 2021, then calculated the fatality rates by utilizing the SPSS, Eviews and Expert Modeler procedure. We also built forecasts of infection for the period 23 April 2021 to 30 May 2021, with 95% confidence.

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“…Mathematical models can help understanding the disease dynamics better [14]. Several models exist which described the critical factors about infectious diseases with preventive measures [15,16,17,18,19,20,21,22]. However, modeling blood disorder disease like anemia may seem to be a bit different (as anemia is not infectious type) compared to that of infectious diseases but the insights from mathematical point of view is same.…”

Section: Introductionmentioning

confidence: 99%

Modeling the impact of campaign program on the prevalence of anemia in children under five

Islam

2021

J. Math. Anal. Model.

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Anemia, a global health problem, is increasing worldwide and affecting both developed and developingcountries. Being a blood disorder, anemia may occur in any stages of life but it is quite common in childrenunder the age of five. Globally, iron deficiency is the supreme contributor towards the onset of anemia. In thispaper, a general model based on the dynamics of anemia among children under five is formulated. The populationis divided in three classes such as susceptible, affected and treated. A time-dependent control measurenamely campaign program is considered. The model has an equilibrium point and the stability of the pointis analyzed. Moreover, sensitivity of the equilibrium point is also performed to discover the critical parameters.Numerical simulations are carried out to observe the dynamic behavior of the model. Results showthat campaign program is effective in minimizing the disease progression. The number of child patients andyearly deaths significantly decrease with accelerated campaign program that is implemented earlier whereastermination of the applied measure may upturn the burden. Findings also reveal that application of controlmeasure helps to reduce the prevalence of anemia but may not eliminate the disease.

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Analytical study of transmission dynamics of 2019-nCoV pandemic via fractal fractional operator

Cited by 27 publications

References 38 publications

Dynamical analysis and optimal control of the developed information transmission model

Dynamical analysis and optimal control of the developed information transmission model

Mathematical Modeling and Forecasting of COVID-19 in Saudi Arabia under Fractal-Fractional Derivative in Caputo Sense with Power-Law

Modeling the impact of campaign program on the prevalence of anemia in children under five

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