"A Fractional-Order Model of Dengue Fever with Awareness Effect : Numer" by Ahmed M. A. El-Sayed, Anas A. M. Arafa et al.

Progress in Fractional Differentiation & Applications

Article Title

A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis

Authors

Ahmed M. A. El-Sayed, Department of Mathematics, Faculty of Science, Alexandria university, Alexandria, EgyptFollow
Anas A. M. Arafa, Department of Mathematics, College of Sciences and Arts, Methnab, Qassim University, P.O. Box 931, Buridah, 51931, Methnab, Kingdom of Saudi Arabia\\ Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, Egypt Follow
Ibrahem M. Hanafy, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow
Mohammed I. Gouda, Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, EgyptFollow

Author Country (or Countries)

Egypt

Abstract

In this paper, we study the effect of awareness of population on the spreading of a fractional-order dengue fever model. We calculate the equilibrium points (free-disease point and endemic point) and study local asymptotic stability by using Routh–Hurwitz conditions. The global asymptotic stability by using LaSalle’s invariance principle has been studied. The stability analysis show the relation between reproductive ratio R0 and the local and global stability. To support our theoretical results, we solve this model by using Adams-type predictor-corrector method. The numerical results show the effect of awareness (represented by σ parameter in model), also it show that the fractional order model has smaller peak than integer order model which mean better fitting of data.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/080206

Recommended Citation

M. A. El-Sayed, Ahmed; A. M. Arafa, Anas; M. Hanafy, Ibrahem; and I. Gouda, Mohammed (2022) "A Fractional-Order Model of Dengue Fever with Awareness Effect : Numerical Solutions and Asymptotic Stability Analysis," Progress in Fractional Differentiation & Applications: Vol. 8: Iss. 2, Article 6.
DOI: http://dx.doi.org/10.18576/pfda/080206
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol8/iss2/6

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