Fractional model of Ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative

Almuqrin, Muqrin A.; Goswami, Pranay; Sharma, Shivani; Khan, İlyas; Dubey, Ravi Shanker; Khan, Aftab

doi:10.1016/j.rinp.2021.104295

Cited by 29 publications

(5 citation statements)

References 25 publications

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“…Fractal and fractional calculus [37][38][39][40][41][42][43][44][45][46][47][48] have been widely concerned. In the last three decades, there have existed many inequivalent definitions [49][50][51] of fractional derivatives.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative

Dai¹,

Li²,

Li³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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Although some numerical methods of the fractional-order chaotic systems have been announced, high-precision numerical methods have always been the direction that researchers strive to pursue. Based on this problem, this paper introduces a high-precision numerical approach. Some complex dynamic behavior of fractional-order Lorenz chaotic systems are shown by using the present method. We observe some novel dynamic behavior in numerical experiments which are unlike any that have been previously discovered in numerical experiments or theoretical studies. We investigate the influence of α 1 , α 2 , α 3 on the numerical solution of fractional-order Lorenz chaotic systems. The simulation results of integer order are in good agreement with those of other methods. The simulation results of numerical experiments demonstrate the effectiveness of the present method.

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Section: Introductionmentioning

confidence: 99%

Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative

Dai¹,

Li²,

Li³

et al. 2023

Computer Modeling in Engineering &Amp; Sciences

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“…In [17], this type of fractional derivative is applied for investigating the effect of MHD (magnetohydrodynamics) on the dynamics of fluid flow on an infinite rigid plate. In [18], this kind of fractional derivative is utilized to model Ebola virus in the population of bats. The authors of [19] employed this type of fractional derivative to introduce a fractional model of COVID-19 and tuberculosis co-infection.…”

Section: Introductionmentioning

confidence: 99%

Orthonormal discrete Legendre polynomials for nonlinear reaction‐diffusion equations with ABC fractional derivative and non‐local boundary conditions

Heydari

Shaabani

Rasti

2023

Math Methods in App Sciences

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This paper introduces a fractional version of reaction-diffusion equations with non-local boundary conditions via a non-singular fractional derivative defined by Atangana and Baleanu. The orthonormal discrete Legendre polynomials are introduced as suitable family of basis functions to find the solution of these equations. An operational matrix is derived for fractional derivative of these polynomials. A collocation method based on the expressed polynomials and their operational matrices is developed for solving such problems. The established method transforms solving the original problem under consideration into solving a system of algebraic equations. Some numerical examples are used to investigate the validity of the presented method.

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“…They are highly pathogenic viruses, classified as level 4. They are responsible, for the most part, for viral hemorrhagic fevers (VHF) most often fatal in human and non-human primates, during transmission by contact with biological fluids [9,10]. This virus, known since 1976, had already caused several episodes in Africa but none of such rapid evolution and such serious impact on public health [11].…”

Section: Introductionmentioning

confidence: 99%

Long-Term Bifurcation and Stochastic Optimal Control of a Triple-Delayed Ebola Virus Model with Vaccination and Quarantine Strategies

2022

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Despite its high mortality rate of approximately 90%, the Ebola virus disease (EVD) has not received enough attention in terms of in-depth research. This illness has been responsible for over 40 years of epidemics throughout Central Africa. However, during 2014–2015, the Ebola-driven epidemic in West Africa became, and remains, the deadliest to date. Thus, Ebola has been declared one of the major public health issues. This paper aims at exploring the effects of external fluctuations on the prevalence of the Ebola virus. We begin by proposing a sophisticated biological system that takes into account vaccination and quarantine strategies as well as the effect of time lags. Due to some external perturbations, we extend our model to the probabilistic formulation with white noises. The perturbed model takes the form of a system of stochastic differential equations. Based on some non-standard analytical techniques, we demonstrate two main approach properties: intensity and elimination of Ebola virus. To better understand the impact of applied strategies, we deal with the stochastic control optimization approach by using some advanced theories. All of this theoretical arsenal has been numerically confirmed by employing some real statistical data of Ebola virus. Finally, we mention that this work could be a rich basis for further investigations aimed at understanding the complexity of Ebola virus propagation at pathophysiological and mathematics levels.

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Fractional model of Ebola virus in population of bats in frame of Atangana-Baleanu fractional derivative

Cited by 29 publications

References 25 publications

Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative

Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with燙aputo Fractional Derivative

Orthonormal discrete Legendre polynomials for nonlinear reaction‐diffusion equations with ABC fractional derivative and non‐local boundary conditions

Long-Term Bifurcation and Stochastic Optimal Control of a Triple-Delayed Ebola Virus Model with Vaccination and Quarantine Strategies

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