Epidemiological modeling of Influenza-Like Illness (ILI) transmission in Jakarta, Indonesia through cumulative generating operator on SLIR model

Fauzi, Ilham Saiful; Wardani, Imaniah Bazlina; Nuraini, Nuning

doi:10.1016/j.jobb.2023.10.001

Cited by 3 publications

(1 citation statement)

References 39 publications

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“…However, the most common virus that causes ILI is RSV which often occurs in children ( Kondratiuk et al, 2021 , Faye et al, 2022 ). ILI is commonly spread through contact with an infected person (direct or indirect) ( Fauzi et al, 2023 ), with an incubation period of 1–4 days ( Table 1 ) ( Stellrecht, 2017 ). In Saudi Arabia the number of cases infected with ILI is about 1424 from 2018 to 2021 ( MOH, 2021b ), however, the number of cases in the United States is 9 million to 49 million annually ( Spencer et al, 2022 , Jones et al, 2021 ), ( Blanchet Zumofen et al, 2023 ), which is considered a leading factor for high mortality and morbidity ( Mezlini et al, 2022 ).…”

Section: Respiratory Viral Infectionsmentioning

confidence: 99%

Epidemiologic and clinical updates on viral infections in Saudi Arabia

Alshiban,

Aleyiydi,

Nassar

et al. 2024

Saudi Pharmaceutical Journal

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Section: Respiratory Viral Infectionsmentioning

confidence: 99%

Epidemiologic and clinical updates on viral infections in Saudi Arabia

Alshiban,

Aleyiydi,

Nassar

et al. 2024

Saudi Pharmaceutical Journal

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Numerical simulations of a two-strain dengue model to investigate the efficacy of the deployment of Wolbachia-carrying mosquitoes and vaccination for reducing the incidence of dengue infections

Ndii,

Anggriani,

Djahi

et al. 2024

Journal of Biosafety and Biosecurity

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The impact of the Caputo fractional difference operator on the dynamical behavior of a discrete-time SIR model for influenza A virus

Nabil,

Tayeb

2024

Phys. Scr.

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Since there are few studies that deal with the fractional-order discrete-time epidemic models, this paper presents a new fractional-order discrete-time SIR epidemic model that is constructed based on the Caputo fractional difference operator. The effect of the fractional orders on the global dynamics of the SIR model is analyzed. In particular, the existence and stability of equilibrium points of the model are presented. Furthermore, we investigate the qualitative dynamical properties of the SIR model for both commensurate and incommensurate fractional orders using powerful nonlinear tools such as phase attractors, bifurcation diagrams, maximum Lyapunov exponent, chaos diagrams, and 0-1 test. In addition, the complexity of the discrete model is measured via the spectral entropy complexity algorithm. Further, an active controller is designed to stabilize the chaotic dynamics of the fractional-order SIR model. Finally, the suggested model is fitted with real data to show the accuracy of the current stability study. Our goal was achieved by confirming that the proposed SIR model can display a variety of epidiomologically observed states, including stable, periodic, and chaotic behaviors. The findings suggest that any change in parameter values or fractional orders could lead to unpredictable behavior. As a result, there is a need for additional research on this topic.

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Epidemiological modeling of Influenza-Like Illness (ILI) transmission in Jakarta, Indonesia through cumulative generating operator on SLIR model

Cited by 3 publications

References 39 publications

Epidemiologic and clinical updates on viral infections in Saudi Arabia

Epidemiologic and clinical updates on viral infections in Saudi Arabia

Numerical simulations of a two-strain dengue model to investigate the efficacy of the deployment of Wolbachia-carrying mosquitoes and vaccination for reducing the incidence of dengue infections

The impact of the Caputo fractional difference operator on the dynamical behavior of a discrete-time SIR model for influenza A virus

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