Enhanced Analysis of General Noncontinuous Stochastic Epidemic Model With Vaccination: A Novel Framework and Practical Application to COVID-19 in Saudi Arabia

Yassine Sabbar; Waleed Adel; Amr Elsonbaty

doi:10.1002/mma.10711

Enhanced Analysis of General Noncontinuous Stochastic Epidemic Model With Vaccination: A Novel Framework and Practical Application to COVID-19 in Saudi Arabia

Yassine Sabbar, Waleed Adel, Amr Elsonbaty

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

This paper introduces an enhanced analysis of a stochastic epidemic model that integrates vaccination and discontinuities. Our methodology initiates with formulating a perturbed model incorporating dual general incidence functions and a thorough distribution for jump components. After confirming the well-posed nature of this model, we proceed to establish a global threshold criterion that discerns between the persistence and eradication of the infection. The accuracy of this threshold is scrutinized through numerical simulations utilizing real data related to COVID-19 in Saudi Arabia. A distinctive feature of our approach is its departure from previous studies, as we provide a comprehensive framework and pinpoint optimal conditions for the model.

Original language	English
Pages (from-to)	6734-6748
Number of pages	15
Journal	Mathematical Methods in the Applied Sciences
Volume	48
Issue number	6
DOIs	https://doi.org/10.1002/mma.10711
State	Published - Apr 2025

Keywords

Covid-19
Poisson jumps
general tempered distribution
perturbed epidemic system
vaccination strategy

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1002/mma.10711

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abstract = "This paper introduces an enhanced analysis of a stochastic epidemic model that integrates vaccination and discontinuities. Our methodology initiates with formulating a perturbed model incorporating dual general incidence functions and a thorough distribution for jump components. After confirming the well-posed nature of this model, we proceed to establish a global threshold criterion that discerns between the persistence and eradication of the infection. The accuracy of this threshold is scrutinized through numerical simulations utilizing real data related to COVID-19 in Saudi Arabia. A distinctive feature of our approach is its departure from previous studies, as we provide a comprehensive framework and pinpoint optimal conditions for the model.",

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AU - Adel, Waleed

AU - Elsonbaty, Amr

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N2 - This paper introduces an enhanced analysis of a stochastic epidemic model that integrates vaccination and discontinuities. Our methodology initiates with formulating a perturbed model incorporating dual general incidence functions and a thorough distribution for jump components. After confirming the well-posed nature of this model, we proceed to establish a global threshold criterion that discerns between the persistence and eradication of the infection. The accuracy of this threshold is scrutinized through numerical simulations utilizing real data related to COVID-19 in Saudi Arabia. A distinctive feature of our approach is its departure from previous studies, as we provide a comprehensive framework and pinpoint optimal conditions for the model.

AB - This paper introduces an enhanced analysis of a stochastic epidemic model that integrates vaccination and discontinuities. Our methodology initiates with formulating a perturbed model incorporating dual general incidence functions and a thorough distribution for jump components. After confirming the well-posed nature of this model, we proceed to establish a global threshold criterion that discerns between the persistence and eradication of the infection. The accuracy of this threshold is scrutinized through numerical simulations utilizing real data related to COVID-19 in Saudi Arabia. A distinctive feature of our approach is its departure from previous studies, as we provide a comprehensive framework and pinpoint optimal conditions for the model.

KW - Covid-19

KW - Poisson jumps

KW - general tempered distribution

KW - perturbed epidemic system

KW - vaccination strategy

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JO - Mathematical Methods in the Applied Sciences

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ER -

Enhanced Analysis of General Noncontinuous Stochastic Epidemic Model With Vaccination: A Novel Framework and Practical Application to COVID-19 in Saudi Arabia

Abstract

Keywords

UN SDGs

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