A Standardized Numerical Methodology and Analysis for the Time Delayed Fractional Epidemic Model of Infectious Illnesses Spread by Lumpy Skin
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Tarih
2025-06
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
L and H Scientific Publishing, LLC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study aims to investigate the solution of fractional order delayed lumpy skin infection model with Caputo operator numerically as well as analytically. This delay factor helps to control and slow down the spread of infection in individuals. In this study, existence and uniqueness of the underlying model is discussed. Equilibria of the lumpy skin model are computed along with reproductive number (R0), if R0 > 1 refers spread of illness and if R0 < 1 means control of disease. Local and global stability of fraction delayed model is also presented. Moreover, positive and bounded solution of proposed model are investigated. For the numerical solution of this model, we use Grunwald Letnikov non-standard finite difference scheme. The key properties of the numerical scheme are also investigated like positivity and boundedness. Numerical example is given to present the graphical solution of the fractional order delay epidemic model.
Açıklama
Anahtar Kelimeler
Fractional delay differential equation, GL non-standard finite difference schemes, LaSalle principal, Lumpy skin disease, Voltera type Lyapunov function
Kaynak
Journal of Environmental Accounting and Management
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
13
Sayı
2
