QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK
Vector-borne infections are a class of human diseases resulting from the transmission of pathogenic microorganisms, including bacteria, viruses, and parasites, through various vectors. Yellow fever, prevalent in both the American and African continents, stands as a prominent example of vector-borne...
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American Institute of Mathematical Sciences
2025
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| author | Jan R. Degaichia H. Boulaaras S. Ur Rehman Z. Bahramand S. |
| author2 | 57205596279 |
| author_facet | 57205596279 Jan R. Degaichia H. Boulaaras S. Ur Rehman Z. Bahramand S. |
| author_sort | Jan R. |
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| content_provider | Universiti Tenaga Nasional |
| content_source | UNITEN Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | Vector-borne infections are a class of human diseases resulting from the transmission of pathogenic microorganisms, including bacteria, viruses, and parasites, through various vectors. Yellow fever, prevalent in both the American and African continents, stands as a prominent example of vector-borne infections. In this paper, we structure the transmission dynamics of yellow fever with vaccine and treatment through non-integer derivative. The fixed point theorem introduced by Banach and Schaefer is utilized to examine the existence and uniqueness of solutions for the proposed yellow fever system. The sufficient conditions of the Ulam-Hyers stability has been established for our system. The solution routes are highlighted using the Laplace Adomian decomposition method to show the influence of input factors on yellow fever. In order to visualise the impacts of fractional-order, vaccine, biting rate, and treatment on the infection level, numerical simulations are performed. We proposed the most attractive parameters of the system for the prevention and control of the infection. Furthermore, it is proposed that the biting rate of mosquitoes is dangerous and can increase the possibility of infection in the community. We suggest that the index of memory, treatment and vaccination are attractive parameters which can reduce the level of infection. ? 2024 American Institute of Mathematical Sciences. All rights reserved. |
| format | Article |
| id | my.uniten.dspace-36282 |
| institution | Universiti Tenaga Nasional |
| publishDate | 2025 |
| publisher | American Institute of Mathematical Sciences |
| record_format | dspace |
| spelling | my.uniten.dspace-362822025-03-03T15:41:47Z QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK Jan R. Degaichia H. Boulaaras S. Ur Rehman Z. Bahramand S. 57205596279 56158307600 36994353700 58061628700 58725436500 Vector-borne infections are a class of human diseases resulting from the transmission of pathogenic microorganisms, including bacteria, viruses, and parasites, through various vectors. Yellow fever, prevalent in both the American and African continents, stands as a prominent example of vector-borne infections. In this paper, we structure the transmission dynamics of yellow fever with vaccine and treatment through non-integer derivative. The fixed point theorem introduced by Banach and Schaefer is utilized to examine the existence and uniqueness of solutions for the proposed yellow fever system. The sufficient conditions of the Ulam-Hyers stability has been established for our system. The solution routes are highlighted using the Laplace Adomian decomposition method to show the influence of input factors on yellow fever. In order to visualise the impacts of fractional-order, vaccine, biting rate, and treatment on the infection level, numerical simulations are performed. We proposed the most attractive parameters of the system for the prevention and control of the infection. Furthermore, it is proposed that the biting rate of mosquitoes is dangerous and can increase the possibility of infection in the community. We suggest that the index of memory, treatment and vaccination are attractive parameters which can reduce the level of infection. ? 2024 American Institute of Mathematical Sciences. All rights reserved. Final 2025-03-03T07:41:47Z 2025-03-03T07:41:47Z 2024 Article 10.3934/dcdss.2024067 2-s2.0-85195175902 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85195175902&doi=10.3934%2fdcdss.2024067&partnerID=40&md5=a801afa92e201f103d1ee915db1d1060 https://irepository.uniten.edu.my/handle/123456789/36282 17 10 2996 3017 All Open Access; Gold Open Access American Institute of Mathematical Sciences Scopus |
| spellingShingle | Jan R. Degaichia H. Boulaaras S. Ur Rehman Z. Bahramand S. QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title | QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title_full | QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title_fullStr | QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title_full_unstemmed | QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title_short | QUALITATIVE AND QUANTITATIVE ANALYSIS OF VECTOR-BORNE INFECTION THROUGH FRACTIONAL FRAMEWORK |
| title_sort | qualitative and quantitative analysis of vector-borne infection through fractional framework |
| url_provider | http://dspace.uniten.edu.my/ |