Numerical solution of COVID-19 pandemic model via finite difference and meshless techniques

Zarin, Rahat; Islam, Siraj Ul; Haider, Nadeem; Naeem-ul-Islam,

doi:10.1016/j.enganabound.2022.11.026

Cited by 5 publications

(3 citation statements)

References 24 publications

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“…Mathematical simulation is a significant technique for establishing effective control methods and forecasting disease outbreaks. Mathematical models are helpful tools for evaluating epidemic situations and offer a direction for enacting the proper countermeasures [24]. This part is dedicated to evaluating the proposed model numerically.…”

Section: Numerical Simulationmentioning

confidence: 99%

Study on Viral Transmission Impact on Human Population Using Fractional Order Zika Virus Model

Palanisami,

Elango

2023

IJRCS

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This work comprises the spread of Zika virus between humans and mosquitoes as a mathematical simulation under fractional order, which also incorporates the asymptotically infected human population. For determining the solution of the model the fuzzy Laplace transform technique is utilized. By combining fuzzy logic with the Laplace transform, we can analyze systems even when we lack precise information. Further, the sensitivity analysis is performed to validate the model. On top of that the population dynamics of both human and mosquito populations are discussed using numerical data and the graphical result of the model is presented. The main objective of this work is to study the dynamics of the Zika virus and to examine the effect of virus on humans when the transmission occurs between humans and from mosquitoes, under fractional order. The outcome of these comparisons suggests that even by reducing a minute fractional part of transmission through mosquitoes results in a greater reduction of Zika exposed population. The comparisons improve the understanding of fractional level transmission resulting in more effective drug administration to patients. The Hyers-Ulam stability method is a mathematical technique used to study the stability of functional equations. Eventually, Ulam Hyers and Ulam Hyers Rassias stability are employed to assess the stability of the proposed model.

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Section: Numerical Simulationmentioning

confidence: 99%

Study on Viral Transmission Impact on Human Population Using Fractional Order Zika Virus Model

Palanisami,

Elango

2023

IJRCS

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“…Tested positive and infected with both of these strains on the same day, her respiratory symptoms rapidly worsened and shortly resulted in her death thereafter. Cases of dual infections with Omicron and Delta have been reported in several immunocompetent and immunocompromised patients residing in areas that differ by geography [16] , [17] , [18] . In the last decade, numerous cases of acquiring more than one strain of HIV have been reported [19] , [20] , [21] .…”

Section: Introductionmentioning

confidence: 99%

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

Chu¹,

Zarin²,

Khan³

et al. 2023

Alexandria Engineering Journal

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“…Furthermore, some studies also incorporated the effect of vaccines and mutant viruses into the models [ 16 ]. Zarin et al employed a modified SEQIR model using finite difference and meshless techniques to incorporate population behaviour in predicting COVID-19 spread [ 17 ]. Another study used nonlinear weighted least square estimation and global sensitivity analysis to investigate the optimal control measures for the Delta COVID-19 variant in a partially vaccinated population in China [ 18 ].…”

Section: Introductionmentioning

confidence: 99%

Assessing potential surge of COVID-19 cases and the need for booster vaccine amid emerging SARS-CoV-2 variants in Indonesia: A modelling study from West Java

Nuraini,

Soekotjo,

Alifia

et al. 2023

Heliyon

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Numerical solution of COVID-19 pandemic model via finite difference and meshless techniques

Cited by 5 publications

References 24 publications

Study on Viral Transmission Impact on Human Population Using Fractional Order Zika Virus Model

Study on Viral Transmission Impact on Human Population Using Fractional Order Zika Virus Model

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

Assessing potential surge of COVID-19 cases and the need for booster vaccine amid emerging SARS-CoV-2 variants in Indonesia: A modelling study from West Java

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