The stability analysis and numerical simulation based on Sinc Legendre collocation method for solving a fractional epidemiological model of the Ebola virus

Derakhshan, Mohammadhossein

doi:10.1016/j.padiff.2021.100037

Cited by 8 publications

(3 citation statements)

References 37 publications

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“…The Sinc Legendre collocation technique was employed to address a nonlinear fractional model of the Caputo sense Ebola Virus Disease (EVD) [ 9 ]. By utilizing the Atangana Baleanu and Caputo (ABC) derivative the EVD fractional model was investigated and solutions were obtained through the application of fixed point theory [ 10 ].…”

Section: Introductionmentioning

confidence: 99%

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

Nisar,

Farman,

Jamil

et al. 2024

PLoS ONE

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In this manuscript, we developed a nonlinear fractional order Ebola virus with a novel piecewise hybrid technique to observe the dynamical transmission having eight compartments. The existence and uniqueness of a solution of piecewise derivative is treated for a system with Arzel’a-Ascoli and Schauder conditions. We investigate the effects of classical and modified fractional calculus operators, specifically the classical Caputo piecewise operator, on the behavior of the model. A model shows that a completely continuous operator is uniformly continuous, and bounded according to the equilibrium points. The reproductive number R0 is derived for the biological feasibility of the model with sensitivity analysis with different parameters impact on the model. Sensitivity analysis is an essential tool for comprehending how various model parameters affect the spread of illness. Through a methodical manipulation of important parameters and an assessment of their impact on Ro, we are able to learn more about the resiliency and susceptibility of the model. Local stability is established with next Matignon method and global stability is conducted with the Lyapunov function for a feasible solution of the proposed model. In the end, a numerical solution is derived with Newton’s polynomial technique for a piecewise Caputo operator through simulations of the compartments at various fractional orders by using real data. Our findings highlight the importance of fractional operators in enhancing the accuracy of the model in capturing the intricate dynamics of the disease. This research contributes to a deeper understanding of Ebola virus dynamics and provides valuable insights for improving disease modeling and public health strategies.

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Section: Introductionmentioning

confidence: 99%

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

Nisar,

Farman,

Jamil

et al. 2024

PLoS ONE

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“…Recently, an extensive investigation is being carried out to study the spread and prevention of corona virus disease which is reported to have a high fatality rate. [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] Kuang 22 presents delay logistic equations, which are particularly applicable to epidemic systems. Mathematical models of epidemic systems with delay are discussed by Brauer and Chavez 23 .…”

Section: Introductionmentioning

confidence: 99%

Stability analysis and Hopf bifurcation in fractional order SEIRV epidemic model with a time delay in infected individuals

Mahata¹,

Paul

Mukherjee³

et al. 2022

Partial Differential Equations in Applied Mathematics

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Infectious diseases have been a constant cause of disaster in human population. Simultaneously, it provides motivation for math and biology professionals to research and analyze the systems that drive such illnesses in order to predict their long-term spread and management. During the spread of such diseases several kinds of delay come into play, owing to changes in their dynamics. Here, we have studied a fractional order dynamical system of susceptible, exposed, infected, recovered and vaccinated population with a single delay incorporated in the infectious population accounting for the time period required by the said population to recover. We have employed Adam-Bashforth-Moulton technique for deriving numerical solutions to the model system. The stability of all equilibrium points has been analyzed with respect to the delay parameter. Utilizing actual data from India COVID-19 instances, the parameters of the fractional order SEIRV model were calculated. Graphical demonstration and numerical simulations have been done with the help of MATLAB (2018a). Threshold values of the time delay parameter have been found beyond which the system exhibits Hopf bifurcation and the solutions are no longer periodic.

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“…Entre estos agentes patógenos se encuentran los virus, las bacterias, los parásitos y los hongos, los cuales, infectan todo tipo de organismos vivos del reino animal y vegetal (Muñoz 2019). Un ejemplo de estos patógenos es el caso del virus Ébola, cuyo origen estaría en los murciélagos de África occidental en 1976, una de las enfermedades virales más letales del mundo (Derakhshan, 2021) o como la actual pandemia por la cual atravesamos, como es el caso del nuevo coronavirus SARS-CoV2 (Valero-Cedeño et al, 2020).…”

Section: Introductionunclassified

Acoplamiento molecular de potenciales inhibidores de Niemann Pick C1, involucrada en la transmisión del virus del Ébola

O.¹,

R.²,

M³

2022

RFCB

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Resumen En este trabajo se diseñaron potenciales inhibidores de la transmisión del virus del Ébola mediante el análisis del sitio de unión de la proteína Niemann Pick C1, por medio de acoplamiento molecular. Para esta investigación se hizo un estudio del sitio de unión de la proteína con el colesterol usando los programas protein plus y Castp; seguido a esto se realizó la validación del método utilizando los softwares Ligplot +, USCF Chimera y AutoDockTools. Posteriormente, se tomaron moléculas de otras investigaciones para estudiar sus interacciones y con base a esto se diseñaron nuevas moléculas a las cuales se les aplicó acoplamiento molecular para poder escoger las moléculas con mejores energías de unión y finalmente a este seleccionado grupo se les realizó un estudio de las propiedades farmacocinéticas por medio de Swiss ADME. Las estructuras 18 y 22 presentaron los mejores resultados en el radar de biodisponibilidad, ambas presentan una alta absorción gastrointestinal, cumplen con las reglas de Lipinski y sus valores están dentro de los parámetros establecidos, considerándose así estas moléculas con gran potencial como inhibidores del Virus del Èbola.

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The stability analysis and numerical simulation based on Sinc Legendre collocation method for solving a fractional epidemiological model of the Ebola virus

Cited by 8 publications

References 37 publications

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

Computational and stability analysis of Ebola virus epidemic model with piecewise hybrid fractional operator

Stability analysis and Hopf bifurcation in fractional order SEIRV epidemic model with a time delay in infected individuals

Acoplamiento molecular de potenciales inhibidores de Niemann Pick C1, involucrada en la transmisión del virus del Ébola

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