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Computation
Volume 13
Issue 5
10.3390/computation13050122
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This is an early access version, the complete PDF, HTML, and XML versions will be available soon.
Article

Fractional Order Mathematical Model for Predicting and Controlling Dengue Fever Spread Based on Awareness Dynamics

by
Ahmed S. Rashed
1,2,3,*,
Mahy M. Mahdy
2,
Samah M. Mabrouk
2 and
Rasha Saleh
2
1
Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai 602105, Tamilnadu, India
2
Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Zagazig 44519, Egypt
3
Basic Science Department, Faculty of Engineering, Delta University for Science and Technology, Gamasa 11152, Egypt
*
Author to whom correspondence should be addressed.
Computation 2025, 13(5), 122; https://doi.org/10.3390/computation13050122 (registering DOI)
Submission received: 23 April 2025 / Revised: 15 May 2025 / Accepted: 16 May 2025 / Published: 17 May 2025
(This article belongs to the Topic Fractional Calculus: Theory and Applications, 2nd Edition)
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Abstract

Dengue fever (DF) is considered one of the most rapidly spreading infectious diseases, which is primarily transmitted to humans by bites from infected Aedes mosquitoes. The current investigation considers the spread patterns of dengue disease with and without host population awareness. It is assumed that some individuals decrease their contact with infected mosquitoes by adopting precautionary behaviors due to their awareness of the disease. Certain susceptible groups actively prevent mosquito bites, and a few infected are isolated to reduce further infections. The basic reproduction number and population dynamics are modeled by a system of fractional-order differential equations. The system of equations is solved using the Adomian Decomposition Method (ADM) since it converges rapidly to the exact solution and can give explicit analytical solutions. Solutions derived are analyzed and plotted for different fractional orders, providing useful insights into population dynamics and contributing to a better understanding of the initiation and control of disease.
Keywords: dengue fever; Adomian decomposition method; fractional order derivatives; basic reproduction number dengue fever; Adomian decomposition method; fractional order derivatives; basic reproduction number
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MDPI and ACS Style

Rashed, A.S.; Mahdy, M.M.; Mabrouk, S.M.; Saleh, R. Fractional Order Mathematical Model for Predicting and Controlling Dengue Fever Spread Based on Awareness Dynamics. Computation 2025, 13, 122. https://doi.org/10.3390/computation13050122

AMA Style

Rashed AS, Mahdy MM, Mabrouk SM, Saleh R. Fractional Order Mathematical Model for Predicting and Controlling Dengue Fever Spread Based on Awareness Dynamics. Computation. 2025; 13(5):122. https://doi.org/10.3390/computation13050122

Chicago/Turabian Style

Rashed, Ahmed S., Mahy M. Mahdy, Samah M. Mabrouk, and Rasha Saleh. 2025. "Fractional Order Mathematical Model for Predicting and Controlling Dengue Fever Spread Based on Awareness Dynamics" Computation 13, no. 5: 122. https://doi.org/10.3390/computation13050122

APA Style

Rashed, A. S., Mahdy, M. M., Mabrouk, S. M., & Saleh, R. (2025). Fractional Order Mathematical Model for Predicting and Controlling Dengue Fever Spread Based on Awareness Dynamics. Computation, 13(5), 122. https://doi.org/10.3390/computation13050122

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