In this research paper, a novel approach in dengue modeling with the asymptomatic carrier and reinfection via the fractional derivative is suggested to deeply interrogate the comprehensive transmission phenomena of dengue infection. The proposed system of dengue infection is represented in the Liouville–Caputo fractional framework and investigated for basic properties, that is, uniqueness, positivity, and boundedness of the solution. We used the next-generation technique in order to determine the basic reproduction number for the suggested model of dengue infection; moreover, we conduct a sensitivity test of through a partial rank correlation coefficient technique to know the contribution of input factors on the output of . We have shown that the infection-free equilibrium of dengue dynamics is globally asymptomatically stable for and unstable in other circumstances. The system of dengue infection is then structured in the Atangana–Baleanu framework to represent the dynamics of dengue with the non-singular and non-local kernel. The existence and uniqueness of the solution of the Atangana–Baleanu fractional system are interrogated through fixed-point theory. Finally, we present a novel numerical technique for the solution of our fractional-order system in the Atangana–Baleanu framework. We obtain numerical results for different values of fractional-order and input factors to highlight the consequences of fractional-order and input parameters on the system. On the basis of our analysis, we predict the most critical parameters in the system for the elimination of dengue infection.
Skip Nav Destination
Article navigation
Research Article|
May 20 2021
Fractional-calculus analysis of the transmission dynamics of the dengue infection
Special Collection:
Recent Advances in Modeling Complex Systems: Theory and Applications
H. M. Srivastava
;
H. M. Srivastava
1
Department of Mathematics and Statistics, University of Victoria
, Victoria, British Columbia V8W 3R4, Canada
2
Department of Medical Research, China Medical University Hospital, China Medical University
, Taichung 40402, Taiwan
3
Department of Mathematics and Informatics, Azerbaijan University
, 71 Jeyhun Hajibeyli Street, AZ1007 Baku, Azerbaijan
4
Section of Mathematics, International Telematic University Uninettuno
, I-00186 Rome, Italy
Search for other works by this author on:
Rashid Jan
;
Rashid Jan
a)
5
Department of Mathematics, University of Swabi
, Swabi 23561, Pakistan
a)Author to whom correspondence should be addressed: rashid_ash2000@yahoo.com
Search for other works by this author on:
Asif Jan;
Asif Jan
6
Department of Pathogenic Microbiology & Immunology, School of Basic Medical Sciences, Xi’an Jiaotong University Health Science Center
, 76 West Yanta Road, Xi’an 710061, People’s Republic of China
Search for other works by this author on:
Wejdan Deebani
;
Wejdan Deebani
7
Department of Mathematics, College of Science & Arts, King Abdulaziz University
, P.O. Box 344, Rabigh 21911, Saudi Arabia
Search for other works by this author on:
Meshal Shutaywi
Meshal Shutaywi
7
Department of Mathematics, College of Science & Arts, King Abdulaziz University
, P.O. Box 344, Rabigh 21911, Saudi Arabia
Search for other works by this author on:
a)Author to whom correspondence should be addressed: rashid_ash2000@yahoo.com
Note: This paper belongs to the Focus Issue, Recent Advances in Modeling Complex Systems: Theory and Applications.
Chaos 31, 053130 (2021)
Article history
Received:
March 15 2021
Accepted:
April 29 2021
Citation
H. M. Srivastava, Rashid Jan, Asif Jan, Wejdan Deebani, Meshal Shutaywi; Fractional-calculus analysis of the transmission dynamics of the dengue infection. Chaos 1 May 2021; 31 (5): 053130. https://doi.org/10.1063/5.0050452
Download citation file:
Sign in
Don't already have an account? Register
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Sign in via your Institution
Sign in via your InstitutionPay-Per-View Access
$40.00