Analysis and Modelling of HIV/AIDS Model with Fractional Order Parameter Estimation
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Tarih
2022
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Natural Sciences Publishing
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, nonlinear fractional order HIV/AIDS mathematical model is discussed epidemic problems for the complex transmission of the disease. It is accepted that susceptible wind up contaminated by means of sexual contacts with infective eventually create AIDS. The point of this task was to amend transmission models recently created to represent HIV transmission and AIDS related mortality. The Caputo-Fabrizio fractional derivative operator of order ? ? (0,1) is used to obtain fractional differential equations structure. The stability fractional order model was developed and the unique non-negative solution was tested. The numerical simulations are performed using an iterative technique. Some new results are being viewed with the help of Sumudo transform. Nonetheless, according to Banach, the related findings are given nonlinear functional analysis and fixed point theory. However, mathematical simulations are also acknowledged to evaluate the impact of the model’s parameter by decreasing the fractional values and showing the effect of the b fractional parameter on our obtained solutions. The impact of various parameters is represented graphically. © 2022. NSP Natural Sciences Publishing Cor.
Açıklama
Anahtar Kelimeler
Caputo-fabrizio derivative, Existence and uniqueness, Fractional-order hiv/aids, Sumudu transform
Kaynak
Progress in Fractional Differentiation and Applications
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
8
Sayı
2
