Study of the Spreading Behavior of the Biological SIR Model of COVID-19 Disease Through a Fast Fibonacci Wavelet-Based Computational Approach

Vivek,; Kumar, Manoj; Mishra, Suyash Narayan

doi:10.1007/s40819-024-01699-4

Int. J. Appl. Comput. Math

2024

DOI: 10.1007/s40819-024-01699-4

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Study of the Spreading Behavior of the Biological SIR Model of COVID-19 Disease Through a Fast Fibonacci Wavelet-Based Computational Approach

Vivek,

Manoj Kumar,

Suyash Narayan Mishra

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2024

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Cited by 2 publications

References 38 publications

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Pth moment asymptotic stability for stochastic complex networked control systems with Lévy noise

Li,

Ding,

Liu

2024

Int. J. Dynam. Control

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Pth moment asymptotic stability for stochastic complex networked control systems with Lévy noise

Li,

Ding,

Liu

2024

Int. J. Dynam. Control

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Enhancing epidemic modeling: exploring heavy-tailed dynamics with the generalized tempered stable distribution

Sabbar,

Raezah,

Moumni

2024

MATH

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<p>The generalized tempered stable (GTS) distribution is an optimal choice for modeling disease propagation, as it effectively captures the heavy-tailed nature of such events. This attribute is crucial for evaluating the impact of large-scale outbreaks and formulating effective public health interventions. In our study, we introduce a comprehensive stochastic epidemic model that incorporates various intervention strategies and utilizes Lévy jumps characterized by the GTS distribution. Notably, our proposed stochastic system does not exhibit endemic or disease-free states, challenging the conventional approach of assessing disease persistence or extinction based on asymptotic behavior. To address this, we employed a novel stochastic analysis approach to demonstrate the potential for disease eradication or continuation. We provide numerical examples to highlight the importance of incorporating the GTS distribution in epidemiological modeling. These examples validate the accuracy of our results and compare our model's outcomes with those of a standard system using basic Lévy jumps. The purposeful use of the GTS distribution accounts for the heavy-tailed nature of disease incidence or vector abundance, enhancing the precision of models and predictions in epidemiology.</p>

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Study of the Spreading Behavior of the Biological SIR Model of COVID-19 Disease Through a Fast Fibonacci Wavelet-Based Computational Approach

Cited by 2 publications

References 38 publications

Pth moment asymptotic stability for stochastic complex networked control systems with Lévy noise

Pth moment asymptotic stability for stochastic complex networked control systems with Lévy noise

Enhancing epidemic modeling: exploring heavy-tailed dynamics with the generalized tempered stable distribution

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