Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator

Analysis of dengue model with fractal-fractional Caputo–Fabrizio operator

In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model. The estimated basic reduction number for this dataset is R 0 ≈ 2.2020 . We brief...

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Bibliographic Details
Published in:Advances in difference equations 2020-08, Vol.2020 (1), p.1-23, Article 422
Main Authors: Fatmawati, Khan, Muhammad Altaf, Alfiniyah, Cicik, Alzahrani, Ebraheem
Format: Article
Language:eng
Subjects:
Analysis
Caputo–Fabrizio operator
Dengue model
Difference and Functional Equations
Dynamic tests
Fractal analysis
Fractal models
Fractal-fractional
Fractals
Functional Analysis
Mathematical Models of Infectious Diseases
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Parameter estimates
Parameter estimation
Partial Differential Equations
Real cases
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Summary:In this work, we study the dengue dynamics with fractal-factional Caputo–Fabrizio operator. We employ real statistical data of dengue infection cases of East Java, Indonesia, from 2018 and parameterize the dengue model. The estimated basic reduction number for this dataset is R 0 ≈ 2.2020 . We briefly show the stability results of the model for the case when the basic reproduction number is R 0 < 1 . We apply the fractal-fractional operator in the framework of Caputo–Fabrizio to the model and present its numerical solution by using a novel approach. The parameter values estimated for the model are used to compare with fractal-fractional operator, and we suggest that the fractal-fractional operator provides the best fitting for real cases of dengue infection when varying the values of both operators’ orders. We suggest some more graphical illustration for the model variables with various orders of fractal and fractional.
ISSN:1687-1847
1687-1839
1687-1847