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001-es BibID:BIBFORM125055
035-os BibID:(Scopus)85207278627
Első szerző:Salim, Samiulla
Cím:Optimization and Control in Rubella Transmission Dynamics: A Boundedness-Preserving Numerical Model with Vaccination / Samiullah Salim, Fazal Dayan, Muhammad Azizur Rehman, Husam A. Neamah
Dátum:2024
ISSN:2352-9148
Megjegyzések:Rubella is an infectious disease that can spread globally. It spreads in the subtropics as well as the tropics. Although it is commonly thought to be a non-fatal condition, there are several circumstances in which it can be fatal. Pregnant women infected with the Rubella virus face a high risk of fetal development. The main goal of this study is to look into a model for the spread of Rubella while considering a vaccination campaign as a control measure. The positivity and boundedness of the reinfection rubella transmission and vaccination model are investigated. The local and global stability of the equilibrium points is examined. The sensitivity of parameters is also investigated. Three different techniques forward Euler, RK-4, and non-standard finite difference (NSFD) method are developed for the numerical solution, and their simulation results are examined. Among these three, the NSFD method is superior due to its convergence and positive behavior for all step size values. For some values of the step size, the other two techniques failed to produce positivity and convergent solutions. Analytically, the proposed model's convergence, positivity, boundedness, and consistency are investigated. Finally, the impact of the Rubella vaccine on infected populations has been examined, revealing that vaccination is one of the most effective ways to prevent rubella transmission.
Tárgyszavak:Műszaki tudományok Informatikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Rubella
sensitivity
stability
convergence
consistency
positivity
Megjelenés:Informatics in Medicine Unlocked. - 51 (2024), p. 1-12. -
További szerzők:Dayan, Fazal Rehman, Muhammad Azizur Neamah, Husam A. (1990-) (mérnök)
Internet cím:Intézményi repozitóriumban (DEA) tárolt változat
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