A fractional modeling approach for the transmission dynamics of measles with double-dose vaccination
Measles, a member of the Paramyxoviridae family and the Morbillivirus genus, is an infectious disease caused by the measles virus that is extremely contagious and can be prevented through vaccination. When a person with the measles coughs or sneezes, the virus is disseminated by respiratory droplets. Normally, the appearance of measles symptoms takes 10-14 d following viral exposure. Conjunctivitis, a high temperature, a cough, a runny nose, and a distinctive rash are some of the symptoms. Despite the measles vaccination being available, it is still widespread worldwide. To eradicate measles, the Reproduction Number (i.e. R0<1) must remain less than unity. This study examines a SEIVR compartmental model in the caputo sense using a double dose of vaccine to simulate the measles outbreak. The reproduction number R0 and model properties are both thoroughly examined. Both the local and global stabilities of the proposed model are determined for R0 less and greater than 1. To achieve the model's global stability, the Lyapunov function is used while the existence and uniqueness of the proposed model are demonstrated In addition to the calculated and fitted biological parameters, the forward sensitivity indices for R0 are also obtained. Simulations of the proposed fractional order (FO) caputo model are performed in order to analyse their graphical representations and the significance of FO derivatives to illustrate how our theoretical findings have an impact. The graphical results show that the measles outbreak is reduced by increasing vaccine dosage rates.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2023 |
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| Erschienen: |
2023 |
| Enthalten in: |
Zur Gesamtaufnahme - year:2023 |
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| Enthalten in: |
Computer methods in biomechanics and biomedical engineering - (2023) vom: 27. Dez., Seite 1-18 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Farhan, Muhammad [VerfasserIn] |
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| Links: |
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| Themen: |
Caputo derivative |
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| Anmerkungen: |
Date Revised 27.12.2023 published: Print-Electronic Citation Status Publisher |
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| doi: |
10.1080/10255842.2023.2297171 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
NLM366404970 |
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| 245 | 1 | 2 | |a A fractional modeling approach for the transmission dynamics of measles with double-dose vaccination |
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| 500 | |a Date Revised 27.12.2023 | ||
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| 520 | |a Measles, a member of the Paramyxoviridae family and the Morbillivirus genus, is an infectious disease caused by the measles virus that is extremely contagious and can be prevented through vaccination. When a person with the measles coughs or sneezes, the virus is disseminated by respiratory droplets. Normally, the appearance of measles symptoms takes 10-14 d following viral exposure. Conjunctivitis, a high temperature, a cough, a runny nose, and a distinctive rash are some of the symptoms. Despite the measles vaccination being available, it is still widespread worldwide. To eradicate measles, the Reproduction Number (i.e. R0<1) must remain less than unity. This study examines a SEIVR compartmental model in the caputo sense using a double dose of vaccine to simulate the measles outbreak. The reproduction number R0 and model properties are both thoroughly examined. Both the local and global stabilities of the proposed model are determined for R0 less and greater than 1. To achieve the model's global stability, the Lyapunov function is used while the existence and uniqueness of the proposed model are demonstrated In addition to the calculated and fitted biological parameters, the forward sensitivity indices for R0 are also obtained. Simulations of the proposed fractional order (FO) caputo model are performed in order to analyse their graphical representations and the significance of FO derivatives to illustrate how our theoretical findings have an impact. The graphical results show that the measles outbreak is reduced by increasing vaccine dosage rates | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Measles virus | |
| 650 | 4 | |a caputo derivative | |
| 650 | 4 | |a mathematical model | |
| 650 | 4 | |a numerical simulations | |
| 650 | 4 | |a sensitivity analysis | |
| 650 | 4 | |a vaccination: Lyapunov function | |
| 700 | 1 | |a Shah, Zahir |e verfasserin |4 aut | |
| 700 | 1 | |a Jan, Rashid |e verfasserin |4 aut | |
| 700 | 1 | |a Islam, Saeed |e verfasserin |4 aut | |
| 700 | 1 | |a Alshehri, Mansoor H |e verfasserin |4 aut | |
| 700 | 1 | |a Ling, Zhi |e verfasserin |4 aut | |
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